Hartung Ferenc publikációi hivatkozásokkal
2008. szeptember
könyvrészlet
1. F. Hartung and J. Turi, Stability in a class of functional differential equations with statedependent delays, in Qualitative Problems for Differential Equations and Control Theory,
ed. C. Corduneanu, Word Scientific, 1995, 15-31.
1.
2.
3.
4.
5.
6.
7.
8.
T. Krisztin, O. Arino, The two-dimensional attractor of a differential equation with statedependent delay, J. Dynamics & Diff. Eqns., 13:3 (2001) 435-522.
A. Domoshnitsky, M. Drakhlin, E. Litsyn, On equations with delay depending on solution, to
J. Nonlinear Analysis: Theory, Methods and Applications, 49 (2002) 689-701. (SCI)
T. Luzyanina, K. Engelborghs, D. Roose, Numerical bifurcation analysis of differential
equations with state-dependent delays, Report TW 302, March 2000, Katholieke Universiteit
Leuven, Belgium, Int. J. of Bifurcation and Chaos 11:3 (2001) 737-753. (SCI)
M. Bartha, Stability, convergence and periodicity for equations with state-dependent delay,
Ph.D. Dissertation, Bolyai Institute, University of Szeged, 2002.
M. Bartha, Periodic solutions for differential equations with state-dependent delay and
positive feedback, J. Nonlinear Analysis: Theory, Methods and Applications, 53 (2003) 839857. (SCI)
R. J. La, P. Ranjan, Stability of rate control system with time-varying communication delays,
Center for Satellite and Hybrid Communication Networks, University of Maryland,
Technical Research Report, CSHCN TR 2004-16, 2004 (www.isr.umd.edu/CSHCN).
P. Ranjan, R. J. La, E. H. Abed, Global stability with a state-dependent delay in rate control,
in Time-delay systems 2004: a proceedings volume from the 5th IFAC Workshop, Leuven,
Belgium, 8-10 September 2004, eds. W. Michiels and D. Roose, Elsevier, 2005, 269-274.
D. Roose, R. Szalai, Continuation and Bifurcation Analysis of Delay Differential Equations,
in Numerical Continuation Methods for Dynamical Systems, Path following and boundary
value problems, eds. B. Krauskopf, H. M. Osinga and J. Galán-Vioque, Springer
Netherlands, 2007, 359-399.
2. F. Hartung, T. Krisztin, H.-O. Walther, and J. Wu, Functional differential equations with
state-dependent delay: theory and applications, in Handbook of Differential Equations:
Ordinary Differential Equations, volume 3, edited by A. Canada, P. Drábek and A. Fonda,
Elsevier, North-Holand, 2006, 435-545.
9.
10.
11.
12.
13.
14.
M. Eichmann, A local Hopf bifurcation theorem for differential equations with statedependent delays, doctoral dissertation, Department of Mathematics, Justus-LiebigUniversity Giessen, Germany, 2006.
J. Arino and P. van den Driessche, Time Delays In Epidemic Models: Modeling and
Numerical Considerations, in Delay Differential Equations and Applications, O. Arino, M.L.
Hbid and E. Ait Dads eds., NATO Science Series volume 205, Springer Netherlands, 2006,
539-578.
J. Terjéki and M. Bartha, On the convergence of solutions for an equation with statedependent delay, Differ.Equ.Dyn.Syst.14:3-4 (2006) 195-206.
M.L. Hbid, E. Sánchez, R.B. De La Parra, State-dependent delays associated to threshold
phenomena in structured population dynamics, Mathematical Models and Methods in
Applied Sciences, 17:6, (2007) 877-900.
A.Gołaszewska and J.Turo, Existence and uniqueness for neutral equations with state
dependent delays, Int. J. Qualitative Theory of Differential Equations and Applications, 1:1
(2007) 8-18.
B. Slezák, On the parameter-dependence of the solutions of functional differential equations
with unbounded state-dependent delay, Int. J. Qualitative Theory of Differential Equations
and Applications 1:1 (2007) 88-114.
15. Tamás Insperger, David A.W. Barton, Gábor Stépán, Criticality of Hopf bifurcation in statedependent delay model of turning processes, International Journal of Non-Linear Mechanics,
Volume 43, Issue 2, March 2008, Pages 140-149. (SCI)
16. Alexander V. Rezounenko, Differential equations with discrete state-dependent
delay: uniqueness and well-posedness in the space of continuous functions,
http://arxiv.org/pdf/0801.4715
17. Qingwen Hu, Differential Equations with State-dependent Delay: Global Hopf Bifurcation
and Smoothness Dependence on Parameters, PhD Dissertation, York University, Toronto,
Canada, August 2008.
18. Alfredo Bellen, Nicola Guglielmi, Solving neutral delay differential equations with statedependent delays, to appear in Journal of Computational and Applied Mathematics, (2008),
doi:10.1016/j.cam.2008.04.015
19. E. Hernández, M. A. McKibben, Hernán R. Henríquez, Existence Results for Partial Neutral
Functional Differential Equations with State Dependent Delay, to appear in Mathematical
and Computer Modelling, (2008), doi:10.1016/j.mcm.2008.07.011
referált nemzetközi folyóiratcikk
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25. H. Brunner, The numerical analysis of functional integral and integro-differential equations
of Volterra type, Acta Numerica 13 (2004) 55-145.
26. H. Brunner, Collocation methods for Volterra integral and related functional equations,
Cambridge Monographs on Applied and Computational Mathematics, Cambridge University
Press, 2004.
27. Qingwen Hu, Differential Equations with State-dependent Delay: Global Hopf Bifurcation
and Smoothness Dependence on Parameters, PhD Dissertation, York University, Toronto,
Canada, August 2008.
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38. C. Kelly, On the oscillatory behaviour of stochastic delay equations, PhD Thesis, School of
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39. Z. Kamont, J. Turo, Caratheodory solutions to hyperbolic functional differential systems
with state dependent delays, Rocky Mountain Journal of Mathematics 35:6 (2005) 19351952. (SCI)
40. H. Brunner, High-order collocation methods for singular Volterra functional equations of
neutral type, Applied Numerical Mathematics, 57:5-7 (2007), 533-548.
41. D. Ghosh, P. Saha, A. Roy Chowdhury, Multiple delay Rössler system – Bifurcation and
chaos control, Chaos, Solitons and Fractals, 35:3 (2008) 472-485. (SCI)
42. Qingwen Hu, Differential Equations with State-dependent Delay: Global Hopf Bifurcation
and Smoothness Dependence on Parameters, PhD Dissertation, York University, Toronto,
Canada, August 2008.
3. F. Hartung and J. Turi, On differentiability of solutions with respect to parameters in
state-dependent delay equations, J. Differential Equations, 135:2 (1997) 192-237. (SCI)
43. M. Bartha, On stability properties for neutral differential equations with state-dependent
delay, Diff. Equations Dyn. Systems, 7:2 (1999) 187-220.
44. C. T. H. Baker, G. A. Bocharov, F. A. Rihan, A report on the use of delay differential
equations in numerical modelling in the biosciences, Manchester Centre for Computational
Mathematics, Numerical Analysis Report No. 343, Department of Mathematics, University
of Manchester, July 1999.
45. Pinto M, Trofimchuk S, Stability and existence of multiple periodic solutions for a
quasilinear differential equation with maxima, Proceedings of the Royal Society of
Edinburgh Section A-Mathematics 130: 1103-1118, Part 5 2000. (SCI)
46. T. Krisztin, O. Arino, The two-dimensional attractor of a differential equation with statedependent delay, J. Dynamics & Diff. Eqns., 13:3 (2001) 435-522.
47. T. Luzyanina, K. Engelborghs, D. Roose, Numerical bifurcation analysis of differential
equations with state-dependent delays, Report TW 302, March 2000, Katholieke Universiteit
Leuven, Belgium; Int. J. of Bifurcation and Chaos 11:3 (2001) 737-753. (SCI)
48. K. Engelborghs, T. Luzyanina, G. Samaey, DDE-BIFTOOL v. 2.00: a Matlab package for
bifurcation analysis of delay differential equations, Report TW 330, October 2001,
Katholieke Universiteit Leuven, Belgium.
49. A. Domoshnitsky, M. Drakhlin, E. Litsyn, On equations with delay depending on solution, J.
Nonlinear Analysis: Theory, Methods and Applications, 49 (2002) 689-701. (SCI)
50. John Mallet-Paret & Roger D. Nussbaum, Boundary Layer Phenomena for DifferentialDelay Equations with State Dependent Time Lags: III, Lefschetz Center for Dynamical
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Systems Technical Report Series 02, Brown University, February, 2002. J. Diff. Eqns 190:2
(2003) 364-406. (SCI)
M. Bartha, Stability, convergence and periodicity for equations with state-dependent delay,
Ph.D. Dissertation, Bolyai Institute, University of Szeged, 2002.
T. Luzyanina, K. Engelborghs, Computing Floquet multipliers for functional differential
equations, Int. J. Bifurcation and Chaos, 12:12 (2002) 2977-2989. (SCI)
C. Chicone, Inertial and slow manifolds for delay equations with small delays, J. Diff. Eqns,
190:2 (2003) 364-406. (SCI)
T. Krisztin, A local unstable manifold for differential equations with state-dependent delay,
Discrete and Continuous Dynamical Systems, 9:4 (2003) 993-1028. (SCI)
Christopher T.H. Baker, Gennadii A. Bocharov, Christopher A.H. Paul & Fathalla A. Rihan,
Models with Delays for Cell Population Dynamics: Identification, Selection and Analysis.
Part I: Computational Modelling with Functional Differential Equations: Identification,
Selection, and Sensitivity, Numerical Analysis Report No. 425, Manchester Centre for
Computational Mathematics, University of Manchester, February 2003.
H.-O. Walther, The solution manifold and C1-smoothness for differential equations with
state dependent delay, J. Diff. Equ. 195:1 (2003) 46-65. (SCI)
Christopher T.H. Baker, Gennadii A. Bocharov, Christopher A.H. Paul & Fathalla A. Rihan,
Computational modelling with functional differential equations: Identification, selection, and
sensitivity, Applied Numerical Mathematics, 53:2-4 (2005) 107-129. (SCI)
H. Özbay, Robust control of infinite dimensional systems: theory and applications, in the
Proceedings of 17th International Symposium on Mathematical Theory of Networks and
Systems,
Kyoto,
Japan,
July
24-28,
2006
(http://www-ics.acs.i.kyotou.ac.jp/mtns06/slides/ho-full3.pdf)
A. Gołaszewska, J. Turo, Carathéodory solutions to quasi-linear hyperbolic systems of
partial differential equations with state dependent delays, Functional Differential Equations
14:2-4 (2007) 257-278.
D. Roose, R. Szalai, Continuation and Bifurcation Analysis of Delay Differential Equations,
in Numerical Continuation Methods for Dynamical Systems, Path following and boundary
value problems, eds. B. Krauskopf, H. M. Osinga and J. Galán-Vioque, Springer
Netherlands, 2007, 359-399.
B. Slezák, On the parameter-dependence of the solutions of functional differential equations
with unbounded state-dependent delay, Int. J. Qualitative Theory of Differential Equations
and Applications, 1:1 (2007) 88-114.
Tamás Insperger, David A.W. Barton, Gábor Stépán, Criticality of Hopf bifurcation in statedependent delay model of turning processes, International Journal of Non-Linear Mechanics,
Volume 43, Issue 2, March 2008, Pages 140-149. (SCI)
Qingwen Hu, Differential Equations with State-dependent Delay: Global Hopf Bifurcation
and Smoothness Dependence on Parameters, PhD Dissertation, York University, Toronto,
Canada, August 2008.
4. F. Hartung, T. L. Herdman and J. Turi, On existence, uniqueness and numerical
approximation for neutral equations with state-dependent delays, Applied Numerical
Mathematics, 24:2-3 (1997) 393-409. (SCI)
64. M. Bartha, On stability properties for neutral differential equations with state-dependent
delay, Diff. Equations Dyn. Systems, 7:2 (1999) 187-220.
65. Y. K. Liu, Numerical solution of implicit neutral functional differential equations, SIAM J.
Numer. Anal., 36:2 (1999) 516-528. (SCI)
66. M. Bartha, Stability, convergence and periodicity for equations with state-dependent delay,
Ph.D. Dissertation, Bolyai Institute, University of Szeged, 2002.
67. H. Brunner, The numerical analysis of functional integral and integro-differential equations
of Volterra type, Acta Numerica 13 (2004) 55-145.
68. H. Brunner, Collocation methods for Volterra integral and related functional equations,
Cambridge Monographs on Applied and Computational Mathematics, Cambridge University
Press, 2004.
69. Z. Kamont, First order partial functional differential equations with state dependent delays,
Nonlinear Studies, 12:2 (2005) 135-157.
70. C. T. H: Baker, A. H. Paul, Discontinuous solutions of neutral delay differential equations,
Appl. Numer. Math, 56 (2006) 284-304. (SCI)
71. A. Gołaszewska, J. Turo, Carathéodory solutions to quasi-linear hyperbolic systems of
partial differential equations with state dependent delays, Functional Differential Equations
14:2-4 (2007) 257-278.
72. H. Brunner, High-order collocation methods for singular Volterra functional equations of
neutral type, Applied Numerical Mathematics, 57:5-7 (2007), 533-548. (SCI)
73. A.Gołaszewska and J.Turo, Existence and uniqueness for neutral equations with state
dependent delays, Int. J. Qualitative Theory of Differential Equations and Applications, 1:1
(2007) 8-18.
74. B. Slezák, On the parameter-dependence of the solutions of functional differential equations
with unbounded state-dependent delay, Int. J. Qualitative Theory of Differential Equations
and Applications, 1:1 (2007) 88-114.
75. F. Wu, XR Mao, Numerical solutions of neutral stochastic functional differential equations,
Siam Journal on Numerical Analysis, 46:4 (2007) 1821-1841. (SCI)
76. Qingwen Hu, Differential Equations with State-dependent Delay: Global Hopf Bifurcation
and Smoothness Dependence on Parameters, PhD Dissertation, York University, Toronto,
Canada, August 2008.
77. E. Hernández, M. A. McKibben, Hernán R. Henríquez, Existence Results for Partial Neutral
Functional Differential Equations with State Dependent Delay, to appear in Mathematical
and Computer Modelling, (2008), doi:10.1016/j.mcm.2008.07.011
5. F. Hartung and J. Turi, Identification of parameters in delay equations with statedependent delays, J. Nonlinear Analysis: Theory, Methods and Applications, 29:11 (1997)
1303-1318. (SCI)
78. Kimberly Drake, Analysis of numerical methods for fault detection and model identification
in linear systems with delay, PhD Dissertation, North Carolina State University, Raleigh,
NC, USA, 2003.
79. E. Hernández, A. Prokopczyk, L. Ladeira, A note on partial functional differential equations
with state-dependent delay, Nonlinear Analysis: Real World Applications, 7:4 (2006) 510519. (SCI).
80. E. Hernández, Existence of solutions for a second order abstract functional differential
equation with state-dependent delay, Electronic Journal of Differential Equations, 21 (2007)
1-10.
81. E. Hernández, M. A. McKibben, On state-dependent delay partial neutral functionaldifferential equations, Appl. Math. Comput. 186:1 (2007) 294-301. (SCI)
82. Eduardo Hernández M, Sueli Tanaka Aki, Rathinasamy Sakthivel, Existence results for
impulsive evolution differential equations with state-dependent delay, Electronic J.
Differential Equations, Vol. 2008(2008), No. 28, pp. 1-11.
83. Qingwen Hu, Differential Equations with State-dependent Delay: Global Hopf Bifurcation
and Smoothness Dependence on Parameters, PhD Dissertation, York University, Toronto,
Canada, August 2008.
84. E. Hernández, M. A. McKibben, Hernán R. Henríquez, Existence Results for Partial Neutral
Functional Differential Equations with State Dependent Delay, to appear in Mathematical
and Computer Modelling, (2008), doi:10.1016/j.mcm.2008.07.011
6. F. Hartung, On differentiability of solutions with respect to parameters in a class of
functional differential equations, Functional Differential Equations, 4:1-2 (1997) 65-79.
85. B. Slezák, On the parameter-dependence of the solutions of functional differential equations
with unbounded state-dependent delay, Int. J. Qualitative Theory of Differential Equations
and Applications, 1:1 (2007) 88-114.
7. F. Hartung, T. L. Herdman and J. Turi, Parameter identification in classes of hereditary
systems of neutral type, Applied Mathematics and Computation, 89 (1998) 147-160. (SCI)
8. I. Győri, F. Hartung and J. Turi, Preservation of stability in delay equations under delay
perturbations, J. Math. Anal. Appl., 220 (1998) 290-312. (SCI)
86. Krisztin T., Funkcionál-differenciálegyenletek globális dinamikája, Doktori értekezés,
Szeged, 1999.
87. A. Bátkai, Second order Cauchy problems with damping and delay, PhD Dissertation,
Eberhard-Karls-Universität Tübingen, 2000.
88. A. Bátkai, On the stability of linear partial differential equations with delay, Tübinger
Berichte zur Funktionalanalysis, Matematisches Institut Eberhard-Karls-Universität,
Tübingen, Vol 9 (2000) 47-56.
89. R. Schnaubelt, Parabolic evolution equations with asymptotically autonomous delay, Reports
of the Institute of Analysis No. 3 (2001), Martin-Luter-Universität Halle-Wittenberg. Trans.
Amer. Math. Soc., Posted 2003; Trans. Amer. Math. Soc. 356:9 (2004) 3517-3543. (SCI)
90. G. Gühring, F. Räbiger, and R. Schnaubelt, A characteristic equation for non-autonomous
partial functional differential equations, Tübinger Berichte zur Funktionalanalysis,
Matematisches Institut Eberhard-Karls-Universität, Tübingen, Vol 9 (2000) 188-205; and J.
Differential Equations, 181 (2002) 439-462. (SCI)
91. A. Bátkai, Hyperbolicity of linear partial differential equations with delay, Integr Equat Oper
Th 44:4 (2002) 383-396. (SCI)
92. Insperger, T., Stability analysis of periodic delay-differential equations modeling machine
tool chatter, Ph.D. Dissertation, Budapesti Műszaki és Gazdaságtudományi Egyetem,
Gépészmérnöki Kar, 2002.
93. S. R. Bernfeld, C. Corduneanu, A. O. Ignatyev, On the stability of invariant sets of
functional differential equations, Nonlinear Analysis 55 (2003) 641—656. (SCI)
94. A. Bátkai and B. Farkas, On the effect of small delays to the stability of feedback systems,
Progress in Nonlinear Differential Equations, 55 (2003), 83-94.
95. A. Bátkai, S. Piazzera, Semigroups for delay equations, International Minicourse-Workshop
"Interplay between (C0)-semigroups and PDEs: theory and applications" (S. Romanelli, R.M. Mininni, S. Lucente eds.), Arcane Editrice, Roma, 2004, pp. 1-54.
96. H. Brunner, The numerical analysis of functional integral and integro-differential equations
of Volterra type, Acta Numerica 13 (2004) 55-145.
97. H. Brunner, Collocation methods for Volterra integral and related functional equations,
Cambridge Monographs on Applied and Computational Mathematics, Cambridge University
Press, 2004.
98. A. Bátkai, S. Piazzera: Semigroups for Delay Equations. Research Notes in Mathematics. A
K Peters LTD, 2005.
99. C. Corduneanu, A. O. Ignatyev, Stability of invariant sets of functional differential equations
with delay, Nonlinear Funct. Anal. Appl., 10:1 (2005) 11-24.
100. L. Berezansky, E. Braverman, On stability of some linear and nonlinear delay differential
equations, J. Math. Anal. Appl., 314:2 (2006) 391-411. (SCI)
101. L. Berezansky, E. Braverman, On exponential stability of linear differential equations with
several delays, J. Math. Anal. Appl., 314:2 (2006) 1336-1355. (SCI)
102. L. Berezansky, E. Braverman, Explicit exponential stability conditions for linear differential
equations with several delays, J. Math. Anal. Appl., 332 (2007) 246-264.
103. H. Özbay, Robust control of infinite dimensional systems: theory and applications, in the
Proceedings of 17th International Symposium on Mathematical Theory of Networks and
Systems,
Kyoto,
Japan,
July
24-28,
2006
(http://www-ics.acs.i.kyotou.ac.jp/mtns06/slides/ho-full3.pdf)
104. Leonid Berezansky, Elena Braverman, New Stability Conditions for Linear Differential
Equations with Several Delays, http://arxiv.org/pdf/0806.3234v1
9. F. Hartung, T. L. Herdman and J. Turi, Parameter identifications in classes of neutral
differential equations with state-dependent delays, J. Nonlinear Analysis: Theory,
Methods and Applications, 39:3 (2000) 305-325. (SCI)
105. M. Bartha, Stability, convergence and periodicity for equations with state-dependent delay,
Ph.D. Dissertation, Bolyai Institute, University of Szeged, 2002.
106. E. Hernández, A. Prokopczyk, L. Ladeira, A note on partial functional differential equations
with state-dependent delay, Nonlinear Analysis: Real World Applications, 7:4 (2006) 510519. (SCI).
107. Hernandez E, Pierri M, Goncalves G, Existence results for an impulsive abstract partial
differential equation with state-dependent delay, Computers & Mathematics with
Applications, 52 (3-4): 411-420 (2006) (SCI)
108. E. Hernández, Existence of solutions for a second order abstract functional differential
equation with state-dependent delay, Electronic Journal of Differential Equations, 21 (2007)
1-10.
109. E. Hernández, M. A. McKibben, On state-dependent delay partial neutral functionaldifferential equations, Appl. Math. Comput. 186:1 (2007) 294-301. (SCI)
110. A. Anguraj; M. Mallika Arjunan; Hernández M. Eduardo, Existence results for an impulsive
neutral functional differential equation with state-dependent delay, Applicable Analysis, 86:7
(2007) 861-872. (SCI)
111. A.Gołaszewska and J.Turo, Existence and uniqueness for neutral equations with state
dependent delays, Int. J. Qualitative Theory of Differential Equations and Applications, 1:1
(2007) 8-18.
112. Eduardo Hernández M, Sueli Tanaka Aki, Rathinasamy Sakthivel, Existence results for
impulsive evolution differential equations with state-dependent delay, Electronic J.
Differential Equations, Vol. 2008(2008), No. 28, pp. 1-11.
113. Qingwen Hu, Differential Equations with State-dependent Delay: Global Hopf Bifurcation
and Smoothness Dependence on Parameters, PhD Dissertation, York University, Toronto,
Canada, August 2008.
114. E. Hernández, M. A. McKibben, Hernán R. Henríquez, Existence Results for Partial Neutral
Functional Differential Equations with State Dependent Delay, to appear in Mathematical
and Computer Modelling, (2008), doi:10.1016/j.mcm.2008.07.011
10. I. Győri and F. Hartung, On the exponential stability of a state-dependent delay equation,
Acta Sci. Math. (Szeged), 66 (2000) 87-100.
115. T. Krisztin, O. Arino, The two-dimensional attractor of a differential equation with statedependent delay, J. Dynamics & Diff. Eqns., 13:3 (2001) 435-522.
116. Domoshnitsky, M. Drakhlin, E. Litsyn, On equations with delay depending on solution, J.
Nonlinear Analysis: Theory, Methods and Applications, 49 (2002) 689-701. (SCI)
117. John Mallet-Paret & Roger D. Nussbaum, Boundary Layer Phenomena for DifferentialDelay Equations with State Dependent Time Lags: III, Lefschetz Center for Dynamical
Systems Technical Report Series 02, Brown University, February, 2002. J. Diff. Eqns 190:2
(2003) 364-406. (SCI)
118. T. Insperger, G. Stepan, J. Turi, State-dependent delay model for regenerative cutting
processes, Fifth EUROMECH Nonlinear Dynamics Conference, ENOC 2005, Eindhoven,
The Netherlands (2005), pp. 1124-1129.
119. T. Insperger, G. Stepan, J. Turi, State-dependent delay in regenerative turning processes,
Nonlinear Dynamics, 47:1-3 (2007) 275-283. (SCI)
120. Tamás Insperger, David A.W. Barton, Gábor Stépán, Criticality of Hopf bifurcation in statedependent delay model of turning processes, International Journal of Non-Linear Mechanics,
Volume 43, Issue 2, March 2008, Pages 140-149. (SCI)
121. Qingwen Hu, Differential Equations with State-dependent Delay: Global Hopf Bifurcation
and Smoothness Dependence on Parameters, PhD Dissertation, York University, Toronto,
Canada, August 2008.
11. I. Győri and F. Hartung, Stability in delay perturbed differential and difference equations,
In Topics in Functional Differential and Difference Equations, Fields Institute
Communications, Vol. 29 (2001) 181-194.
122. R. Schnaubelt, Well-posedness and asymptotic behaviour of non-autonomous linear
evolution equations, Tübinger Berichte zur Funktionalanalysis, Matematisches Institut
Eberhard-Karls-Universität, Tübingen, 2001; also in Evolution Equations, Progress in
Nonlinear Differential Equations and Their Applications, Vol. 50: Semigroups and
Functional Analysis, eds. B. Terreni, A. Lorenzi and B. Ruf, Birkhäuser, 2002, 311-338.
123. S. R. Bernfeld, C. Corduneanu, A. O. Ignatyev, On the stability of invariant sets of
functional differential equations, Nonlinear Analysis 55 (2003) 641—656. (SCI)
124. V. Tkachenko, S. Trofimchuk, Global stability in difference equations satisfying the
generalized Yorke condition, J. Mathematical Analysis Applications, 303:1 (2005) 173-187.
(SCI)
125. L. Berezansky, E. Braverman, On exponential dichotomy, Bohl-Perron type theorems and
stability of difference equations, J. Math. Anal. Appl., 304 (2005) 511-530. (SCI)
126. L. Berezansky, E. Braverman, E. Liz, Sufficient conditions for the global stability of
nonautonomous higher order difference equations, J. Difference Equations and Applications,
11:9 (2005) 785-798.
127. C. Corduneanu, A. O. Ignatyev, Stability of invariant sets of functional differential equations
with delay, Nonlinear Funct. Anal. Appl., 10:1 (2005) 11-24.
128. L. Berezansky, E. Braverman, On stability of some linear and nonlinear delay differential
equations, J. Math. Anal. Appl., 314:2 (2006) 391-411. (SCI)
129. L. Berezansky, E. Braverman, On exponential stability of linear differential equations with
several delays, J. Math. Anal. Appl., 314:2 (2006) 1336-1355. (SCI)
130. Y. Muroya, A global stability criterion in nonautonomous delay differential equations, J.
Math. Anal. Appl, 326:1 (2007) 209-227. (SCI)
131. X. H. Tang and Zhiyuan Jiang, Asymptotic behavior of Volterra difference equation, Journal
of Difference Equations and Applications, 13:1 (2007) 25-40.
132. L. Berezansky, E. Braverman, Explicit exponential stability conditions for linear differential
equations with several delays, J. Math. Anal. Appl., 332 (2007) 246-264.
133. M. M. Kipnis, D. A. Komissarova, A note on explicit stability conditions for autonomous
higher order difference equations, J. Difference Equations and Applications, 13:5 (2007)
457-461.
134. Leonid Berezansky, Elena Braverman, New Stability Conditions for Linear Differential
Equations with Several Delays, http://arxiv.org/pdf/0806.3234v1
135. A. Yu. Kulikov and V. V. Malygina, Stability of nonautonomous difference equations with
several delays, Russian Mathematics (Iz VUZ), 52:3 (2008) 15-23.
136. E. Liz, Some recent global stability results for higher order difference equations, to appear
in the proceedings of International Conference on Difference Equations, Special Functions
and Applications, Munich, July, 2005, World Scientific Publishing, Singapore.
(http://www.dma.uvigo.es/~eliz/Conferences.html)
137. Yoshiaki Muroya, Emiko Ishiwata, Stability for a class of difference equations, to appear in
Journal of Computational and Applied Mathematics, (2008), doi:10.1016/j.cam.2008.03.028
12. I. Győri and F. Hartung, Preservation of stability in a linear neutral differential equation
under delay perturbations, Dynamic Systems and Applications, 10 (2001) 225-242.
138. R. Schnaubelt, Well-posedness and asymptotic behaviour of non-autonomous linear
evolution equations, Tübinger Berichte zur Funktionalanalysis, Matematisches Institut
Eberhard-Karls-Universität, Tübingen, 2001; also in Evolution Equations, Progress in
Nonlinear Differential Equations and Their Applications, Vol. 50: Semigroups and
Functional Analysis, eds. B. Terreni, A. Lorenzi and B. Ruf, Birkhäuser, 2002, 311-338.
139. Feng Wang, Asymptotic Stability for Neutral Systems With Multiple Unbounded Delays,
Journal of Inner Mongolia Normal University (Natural Science Edition), 33:4 (2004) 357360.
140. F. Wang, Exponential asymptotic stability for nonlinear neutral systems with multiple
delays, Nonlinear Analysis: Real World Applications, 8:1 (2007) 312-322. (SCI)
141. Y. M. Dib, M. R. Maroun, and Y. N. Raffoul, Periodicity and stability in neutral nonlinear
differential equations with functional delay, Electronic Journal of Differential Equations, vol
2005, no. 142 (2005) 1-11.
142. M. N. Islam, Y. Raffoul, Periodic solutions of neutral nonlinear system of differential
equations with functional delay, J. Math. Anal. Appl. 331:2 (2007) 1175-1186.
13. F. Hartung, Parameter estimation by quasilinearization in functional differential equations
with state-dependent delays, J. Nonlinear Analysis: Theory, Methods and Applications,
47:7 (2001) 4557-4566. (SCI)
143. E. Hernández, A. Prokopczyk, L. Ladeira, A note on partial functional differential equations
with state-dependent delay, Nonlinear Analysis: Real World Applications, 7:4 (2006) 510519. (SCI).
144. E. Hernández, Existence of solutions for a second order abstract functional differential
equation with state-dependent delay, Electronic Journal of Differential Equations, 21 (2007)
1-10.
145. E. Hernández, M. A. McKibben, On state-dependent delay partial neutral functionaldifferential equations, Appl. Math. Comput. 186:1 (2007) 294-301. (SCI)
146. A. Anguraj; M. Mallika Arjunan; Hernández M. Eduardo, Existence results for an impulsive
neutral functional differential equation with state-dependent delay, Applicable Analysis, 86:7
(2007) 861-872. (SCI)
147. Qingwen Hu, Differential Equations with State-dependent Delay: Global Hopf Bifurcation
and Smoothness Dependence on Parameters, PhD Dissertation, York University, Toronto,
Canada, August 2008.
148. E. Hernández, M. A. McKibben, Hernán R. Henríquez, Existence Results for Partial Neutral
Functional Differential Equations with State Dependent Delay, to appear in Mathematical
and Computer Modelling, (2008), doi:10.1016/j.mcm.2008.07.011
14. I. Győri and F. Hartung, Numerical approximation of neutral differential equations on
infinite interval, J. Difference Eqns Appl., 8:11 (2002) 983-999. (SCI)
149. H. Brunner, The numerical analysis of functional integral and integro-differential equations
of Volterra type, Acta Numerica 13 (2004) 55-145.
150. H. Brunner, Collocation methods for Volterra integral and related functional equations,
Cambridge Monographs on Applied and Computational Mathematics, Cambridge University
Press, 2004.
15. I. Győri and F. Hartung, On equi-stability with respect to parameters in functional
differential equations, Nonlinear Functional Analysis and Applications, 7:3 (2002) 329351.
151. Becker, Leigh C.; Burton, T. A., Stability, fixed points and inverses of delays. Proc. Roy.
Soc. Edinburgh Sect. A 136:2 (2006), 245--275.
16. I. Győri and F. Hartung, Stability analysis of a single neuron model with delay, J.
Computational and Applied Mathematics, 157:1 (2003) 73-92. (SCI)
152. S. Xu, Y. Chu, J. Lu, New results on global exponential stability of recurrent neural
networks with time-varying delays, Physics Letters A, 352:4-5 (2006) 371-379. (SCI)
153. C. Y. Lu, A delay-range-dependent approach to global robust stability for discrete-time
uncertain recurrent neural networks with interval time-varying delay, Proceedings of the
Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering,
Volume 221, Issue 8, 2007, Pages 1123-1132. (SCI)
154. Hassan A. El-Morshedy, and B. M. El-Matary, Oscillation and global asymptotic stability of
a neuronic equation with two delays, E. J. Qualitative Theory of Diff. Equ., No. 6. (2008),
pp. 1-21.
155. Chien-Yu Lu, Wen-Jye Shyr, Chin-Wen Liao and Hsun-Heng Tsai, Delay-Range-Dependent
Global Robust Stability of Discrete-Time Uncertain Recurrent Neural Networks with
Interval Time-Varying Delay, to appear in the Proceedings of International Conference on
Neural Information Processing
17. F. Hartung, Linearized stability in periodic functional differential equations with statedependent delays, J. Computational and Applied Mathematics 174:2 (2005) 201-211.
(SCI)
156. T. Krisztin, A local unstable manifold for differential equations with state-dependent delay,
Discrete and Continuous Dynamical Systems, 9:4 (2003) 993-1028. (SCI)
157. T. Insperger, G. Stepan, J. Turi, State-dependent delay model for regenerative cutting
processes, Fifth EUROMECH Nonlinear Dynamics Conference, ENOC 2005, Eindhoven,
The Netherlands (2005), pp. 1124-1129.
158. E. Hernández, A. Prokopczyk, L. Ladeira, A note on partial functional differential equations
with state-dependent delay, Nonlinear Analysis: Real World Applications, 7:4 (2006) 510519. (SCI).
159. V.N. Phat, P. Niamsup, Stability of linear time-varying delay systems and applications to
control problems, Journal of Computational and Applied Mathematics 194:2 (2006) 343356. (SCI)
160. Hernandez E, Pierri M, Goncalves G, Existence results for an impulsive abstract partial
differential equation with state-dependent delay, Computers & Mathematics With
Applications, 52 (3-4): 411-420 (2006) (SCI)
161. T. Insperger, G. Stepan, J. Turi, State-dependent delay in regenerative turning processes,
Nonlinear Dynamics, 47:1-3 (2007) 275-283. (SCI)
162. E. Hernández, Existence of solutions for a second order abstract functional differential
equation with state-dependent delay, Electronic Journal of Differential Equations, 21 (2007)
1-10.
163. T. Richard, C. Germay, E. Detournay, A simplified model to explore the root cause of stick–
slip vibrations in drilling systems with drag bits, J. Sound & Vibration 305:3 (2007) 432456. (SCI)
164. Tamás Insperger, David A.W. Barton, Gábor Stépán, Criticality of Hopf bifurcation in statedependent delay model of turning processes, International Journal of Non-Linear Mechanics,
Volume 43, Issue 2, March 2008, Pages 140-149. (SCI)
165. Eduardo Hernández M, Sueli Tanaka Aki, Rathinasamy Sakthivel, Existence results for
impulsive evolution differential equations with state-dependent delay, Electronic J.
Differential Equations, Vol. 2008(2008), No. 28, pp. 1-11.
166. Qingwen Hu, Differential Equations with State-dependent Delay: Global Hopf Bifurcation
and Smoothness Dependence on Parameters, PhD Dissertation, York University, Toronto,
Canada, August 2008.
167. E. Hernández, M. A. McKibben, Hernán R. Henríquez, Existence Results for Partial Neutral
Functional Differential Equations with State Dependent Delay, to appear in Mathematical
and Computer Modelling, (2008), doi:10.1016/j.mcm.2008.07.011
18. I. Győri, F. Hartung, Fundamental solution and asymptotic stability of linear delay
equations, Dyn. Contin. Discrete Impuls. Syst., 13:2 (2006) 261-288. (SCI)
168. A. Domoshnitsky, Nonoscillation of one of the components of the solution vector,
Proceedings of Conference on Differential and Difference Equations and Applications, eds.
R. P. Agarwal and K. Perera, Hindawi Publishing Corporation, New York (2006) 363-372.
169. L. Idels, M. Kipnis, Stability Criteria for a Nonautonomous Nonlinear System with Delay,
to appear in Applied Mathematical Modelling, (2008) doi:10.1016/j.apm.2008.06.005
19. F. Hartung, T. Insperger, G. Stépán, J. Turi, Approximate stability charts for milling
processes under semi-discretization, Applied Mathematics and Computation, 174:1 (2006)
51-73. (SCI)
170. Nolwenn Corduan, Study of vibratory behaviour of thin walled parts in finishing milling
operations: application on blades of high pressure aeronautical turbo compressor, PhD
dissertation, Laboratoire Bourguignon des Matériaux et Procédés, ENSAM, CER de Paris,
2006
171. Q. Song, X. Ai, Y. Wan, Y. Pan, Influence of tool helix angle on stability in high-speed
milling process, Transactions of Nanjing University of Aeronautics and Astronautics,
Volume 25, Issue 1, March 2008, Pages 18-25.
172. Song Qinghua, Ai Xing, Wan Yi, Pan Yongzhi, Influence of tool helix angle on stability in
high-speed milling process, Transactions of Nanjing University of Aeronautics and
Astronautics, 25:1 (2008) 18-25.
173. Song Qinghua, Ai Xing, Yu Shuiqing, Research on Stability and Surface Finish in Highspeed Milling Process, Manufacturing Technology & Machine Tool, 4 (2008) 40-43.
174. N.D. Simsa, B. Mann, S. Huyanan, Analytical prediction of chatter stability for variable
pitch and variable helix milling tools, Journal of Sound and Vibration, 317:3-5 (2008) 664686.
175. Qingwen Hu, Differential Equations with State-dependent Delay: Global Hopf Bifurcation
and Smoothness Dependence on Parameters, PhD Dissertation, York University, Toronto,
Canada, August 2008.
20. F. Hartung, On differentiability of solutions with respect to parameters in neutral
differential equations with state-dependent delays, J. Math. Anal. Appl., 324:1 (2006)
504-524. (SCI)
176. Alfredo Bellen, Nicola Guglielmi, Solving neutral delay differential equations with statedependent delays, to appear in Journal of Computational and Applied Mathematics, (2008),
doi:10.1016/j.cam.2008.04.015
21. I. Győri, F. Hartung, Exponential Stability of a State-Dependent Delay System, Discrete
and Continuous Dynamical Systems - Series A, 18:4 (2007) 773-791. (SCI)
22. I. Győri, F. Hartung, Stability results for Cohen-Grossberg neural networks with delays,
Int. J. Qualitative Theory of Differential Equations and Applications, 1:2 (2007) 142-156.
23. I. Győri, F. Hartung, On Numerical Approximation using Differential Equations with
Piecewise-Constant Arguments, Periodica Mathematica Hungarica, Vol. 56(1) (2008) 5569, DOI: 10.1007/s10998-008-5055-5.
24. F. Hartung, Linearized Stability for a Class of Neutral Functional Differential Equations
with State-Dependent Delays, J. Nonlinear Analysis: Theory, Methods and Applications,
69 (2008) 1629–1643.
konferenciakiadvány
1. I. Győri, F. Hartung and J. Turi, Stability in delay equations with perturbed time lags,
Proceedings of the 32nd IEEE CDC, San Antonio, Texas, USA, 1993, 3829-3830.
177. S. I. Niculescu, Delay effects on stability, Lecture Notes in Control and Information Sciences
269, Springer, 2001.
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179. Kharitonov VL, Niculescu SI, On the stability linear systems with uncertain delay, IEEE
Transactions on Automatic Control, 48:1 (2003) 127-132. (SCI)
180. Veronica-Ana Ilea, Functional differential equations of mixed type, PhD Dissertation,
Babes-Bolyai University of Cluj-Napoca, 2005.
2. F. Hartung, T. L. Herdman and J. Turi, Identification of parameters in hereditary systems:
a numerical study, Proceedings of the 3rd IEEE Mediterranean Symposium on New
Directions in Control and Automation, Cyprus, July, 1995, 291-298.
3. F. Hartung, T. L. Herdman and J. Turi, Identification of parameters in hereditary systems,
Proceedings of ASME Fifteenth Biennial Conference on Mechanical Vibration and Noise,
Boston, Massachusetts, September 1995, DE-Vol. 84-3, 1995 Design Engineering
Technical Conferences, Vol 3 - Part C, ASME 1995, 1061-1066.
4. I. Győri, F. Hartung and J. Turi, On the effects of delay perturbations on the stability of
delay difference equations, Proceedings of the First International Conference on
Difference Equations, San Antonio, Texas, May 1994, eds. S. N. Elaydi, J. R. Graef, G.
Ladas and A. C. Peterson, Gordon and Breach, 1995, 237-253.
5. I. Győri, F. Hartung and J. Turi, On numerical solutions for a class of nonlinear delay
equations with time- and state-dependent delays, Proceedings of the World Congress of
Nonlinear Analysts, Tampa, Florida, August 1992, Walter de Gruyter, Berlin, New York,
1996, 1391-1402.
181. Kollar, L.E., Numerical stability analysis of a respiratory control system model, MS Theisis,
Univ.of Texas at Dallas, Dallas, TX, USA, May 2002.
182. D. Ghosh, P. Saha, A. Roy Chowdhury, On syncronization of a forced delay dynamical
system via the Galerkin approximation, Communication in Nonlinear Science and Numerical
Simulation, 12 (2007) 928-941.
6. F. Hartung and J. Turi, Linearized stability in functional-differential equations with state-
dependent delays, Proceedings of the conference Dynamical Systems and Differential
Equations, added volume of Discrete and Continuous Dynamical Systems, 2000, 416-425.
183. T. Luzyanina, K. Engelborghs, Computing Floquet multipliers for functional differential
equations, Int. J. Bifurcation and Chaos, 12:12 (2002) 2977-2989. (SCI)
184. A. Gołaszewska, J. Turo, Carathéodory solutions to quasi-linear hyperbolic systems of
partial differential equations with state dependent delays, Functional Differential Equations
14:2-4 (2007) 257-278.
185. Tamás Insperger, David A.W. Barton, Gábor Stépán, Criticality of Hopf bifurcation in statedependent delay model of turning processes, International Journal of Non-Linear Mechanics,
Volume 43, Issue 2, March 2008, Pages 140-149. (SCI)
186. Qingwen Hu, Differential Equations with State-dependent Delay: Global Hopf Bifurcation
and Smoothness Dependence on Parameters, PhD Dissertation, York University, Toronto,
Canada, August 2008.
7. I. Győri and F. Hartung, On stability of neural networks with delays, Proceedings of the
conference Science, Education and Society, Žilina, Slovak Republic, September 17-19,
2003, Section No. 7., Mathematics in Interdisciplinary Context, University of Žilina,
2003, 15-18.
8. I. Győri, F. Hartung, Stability Results for Cellular Neural Networks with Delays, Proc.
7'th Colloq. Qual. Theory Differ. Equ., Electr. J. Qual. Theor. Diff. Equ, 12 (2004) 1-14.
187. M Boroushaki, MB Ghofrani, C Lucas, Simulation of Nuclear Reactor Core Kinetics Using
Multilayer 3-D Cellular Neural Networks, IEEE Transactions On Nuclear Science, 52:3
(2005) 719-728.
188. Wu-Hua Chen and Xiaomei Lu, New delay-dependent exponential stability criteria for
neural networks with variable delays, Physics Letters A, 351:1-2 (2006) 53-58.
189. Y. Liu, Z. You and L. Cao, On the almost periodic solution of generalized Hopfield neural
networks with time-varying delay, Neurocomputing, 69 (2006) 1760-1767.
190. W.-H. Chen, W. X. Zheng, A study of complete stability for delayed cellular neural
networks, Proceedings - IEEE International Symposium on Circuits and Systems, 2006,
Article number 1693318, Pages 3249-3252.
191. Lijuan Zhang, Ligeng Si, Existence and global attractivity of almost periodic solution for
DCNNs with time-varying coefficients, Computers and Mathematics with Applications, 55
(2008) 1887-1894.
9. F. Hartung and J. Turi, Identification of parameters in neutral functional differential
equations with state-dependent delays, Proceedings of 44th IEEE Conference on Decision
and Control and European Control Conference ECC 2005, Seville, (Spain). 12-15
December 2005, 5239-5244.
10. T. Insperger, G. Stépán, F. Hartung, J. Turi, State dependent regenerative delay in milling
processes, Proceedings of IDETC 2005, 2005 ASME International Design Engineering
Technical Conferences, Long Beach, California, USA, September 24-28, 2005.
192. Long, X.H., Balachandran, B., Mann, B.P., Dynamics of milling processes with variable
time delays, Nonlinear Dynamics, 47:1-3 (2007) 49-63.
193. Xinhua Long, Loss of contact and time delay dynamics of milling processes, PhD
Dissertation, University of Maryland, College Park, MD, USA, 2006.
(https://drum.umd.edu/dspace/bitstream/1903/3421/1/umi-umd-3237.pdf)
194. S. A. Voronov, A. M. Gouskov, A. S. Kvashnin, E. A. Bucher, S. C. Sinha, Influence of
torsional motion on the axial vibrations of a drilling tool, Journal of Computational and
Nonlinear Dynamics, 2 (2007) 58-64.
195. R.P.H. Faassen, N. van de Wouw, J.A.J. Oosterling, H. Nijmeijer, An Improved Tool Path
Model Including Periodic Delay for Chatter Prediction in Milling, Journal of Computational
and Nonlinear Dynamics, 2:2 (2007),167-179.
196. A. Verdugo and R. H. Rand, Delay differential equations in the dynamics of gene copying,
Proc. of 2007 ASME International Design Engineering Technical Conferences, Sept 4-7,
2007, Las Vegas, Nevada, USA, DETC2007 5 PART A, pp. 681-686.
197. R. Faasen, Chatter prediction and control of high-speed milling: modelling and experiment,
PhD Dissertation, Technische Universiteit Eindhoven, Eindhoven, The Netherlands, 2007.
198. Luciano Vela-Martínez, Juan Carlos Jáuregui-Correa, Eduardo Rubio-Cerda, Gilberto
Herrera-Ruiz, Alejandro Lozano-Guzmán, Analysis of compliance between the cutting tool
and the workpiece on the stability of a turning process, International Journal of Machine
Tools & Manufacture 48 (2008) 1054–1062.
Egyéb publikációk
1. Karsai J., Forczek E., Hartung F., A SZOTE számítógépes központi klinikai információs
rendszere. MEDICOMP '90. Számítástechnikai és Kibernetikai Módszerek Alkalmazása
az Orvostudományban és a Biológiában, 15. Kollokvium. Szeged, 1990, Ed.: Asztalos
Tibor, Eller József, Győri István (Szeged, 1990. SZOTE) 169-175.
2. Pavelka Z., Hartung F., Karsai J.,The PDP-PC mailing system at SZOTE (poster, in
Hungarian), Proceedings of the 15th Colloquium on Computing and Cybernetical Methods
in Medicine and Biology, 1990.
3. Hartung F., Karsai J., Tordai M., Barna I., The central patient archive at SZOTE (poster,
in Hungarian), Proceedings of the 15th Colloquium on Computing and Cybernetical
Methods in Medicine and Biology, 1990.
4. Németh János, Hartung Ferenc, Deák Andrea, Forczek Erzsébet, Számítógépes ambuláns
betegnyilvántartó rendszer. Szemészet, 129; 115-117, 1992.
5. I. Győri, F. Hartung and J. Turi, Approximation of functional differential equations with
time- and state-dependent delays by equations with piecewise constant arguments, Univ.
of Minnesota, USA, IMA Preprint Series #1130, 1993.
199. T. Insperger, G. Stépan, Stability analysis of turning with periodic spindle speed modulation
via semi-discretization, J. Vibration and Control 10:12 (2004) 1835-1855. (SCI)
6. F. Hartung, On classes of functional differential equations with state-dependent delays,
PhD dissertation, University of Texas at Dallas, 1995.
200. R. J. La, P. Ranjan, Stability of rate control system with time-varying communication delays,
Center for Satellite and Hybrid Communication Networks, University of Maryland,
Technical Research Report, CSHCN TR 2004-16, 2004 (www.isr.umd.edu/CSHCN).
201. P. Ranjan, R. J. La, E. H. Abed, Global stability with a state-dependent delay in rate control,
in Time-delay systems 2004: a proceedings volume from the 5th IFAC Workshop, Leuven,
Belgium, 8-10 September 2004, eds. W. Michiels and D. Roose, Elsevier, 2005, 269-274.
202. B. Slezák, On the parameter-dependence of the solutions of functional differential equations
with unbounded state-dependent delay, Int. J. Qualitative Theory of Differential Equations
and Applications, 1:1 (2007) 88-114.
203. Qingwen Hu, Differential Equations with State-dependent Delay: Global Hopf Bifurcation
and Smoothness Dependence on Parameters, PhD Dissertation, York University, Toronto,
Canada, August 2008.
7. Hartung F.: Bevezetés a numerikus analízisbe, egyetemi jegyzet (VE 1/1999), Veszprémi
Egyetemi Kiadó, Veszprém, 1998. 2. kiadás: (VE 17/2004) 2004.
204. Fodor D., Toth R., Speed Sensorless Linear Parameter Variant H Control of the Induction
Motor, in the proceedings of the 43rd IEEE International Conference on Decision and
Control, CDC’04, December 14-17, Atlantis, Bahamas, Vol. 4, 2004, 4435-4440.