School/Workshop on Applicable Theory of Switched Systems June 6-10, 2016
diagram of
Topics
Speakers
Reading
www.utdallas.edu/sw16
Stability of switched systems
Stability of a switched equilibrium
Existence of an attractor
Dither
perturbations
Dwell-time
Maksim Arnold
Harbin Institute of Technology, China
University of Texas at Dallas
Reading:
Lixian Zhang
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Reading:
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Nonsmooth
Lyapunov
functions
L. Iannelli, K. H. Johansson, U. T. Jonsson, F. Vasca,
Averaging of nonsmooth systems using dither, Automatica
42 (2006), no. 4, 669-676.
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J. Piotrowski, Smoothing Dry Friction by Medium
Frequency Dither and Its Influence on Ride Dynamics of
Freight Wagons, in “Non-smooth Problems in Vehicle
Systems Dynamics”, Proceedings of the Euromech 500
Colloquium, 189-194.
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M. Arnold, V. Zharnitsky, Pinball Dynamics: Unlimited
Energy Growth in Switching Hamiltonian Systems,
Communications in Mathematical Physics 338 (2015), no.
2, 501-521.
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S. Mastellone, D. M. Stipanovic, M. W. Spong,
Stability and convergence for systems with
switching equilibria, 46th IEEE Conference on
Decision and Control 1-14 (2007) 4989-4996.
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C. Perez, V. Azhmyakov, A. Poznyak, Practical
stabilization of a class of switched systems: dwelltime approach. IMA J. Math. Control Inform. 32
(2015), no. 4, 689–702.
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L. Zhang, S. Zhuang, R. D. Braatz; Switched
model predictive control of switched linear
systems: Feasibility, stability and robustness.
Automatica J. IFAC 67 (2016), 8–21.
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Stability with respect
to multi-valued perturbations
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P. E. Kloeden, V. S. Kozyakin, The inflation of attractors and their discretization:
the autonomous case. Lakshmikantham's legacy: a tribute on his 75th birthday.
Nonlinear Anal. 40 (2000), no. 1-8, Ser. A: Theory Methods, 333–343.
University of Tennessee, USA
Francisco Torres
University of Seville, Spain
S.P. Bhat, D.S. Bernstein, Continuous finite-time stabilization of the translational and rotational double
integrators. IEEE Trans. Automat. Control 43 (1998), no. 5, 678–682.
E. Moulay, W. Perruquetti, Finite time stability of differential inclusions. IMA J. Math. Control Inform. 22
(2005), no. 4, 465–475.
R. Santiesteban, T. Floquet, Y. Orlov, S. Riachy, J.P. Richard, Second-order sliding mode control of
underactuated mechanical systems. II. Orbital stabilization of an inverted pendulum with application to
swing up/balancing control. J. Robust Nonlinear Control 18 (2008) 544–556.
R. Santiesteban, L. Fridman, J.A. Moreno, Finite-time convergence analysis for “Twisting” controller via
a strict Lyapunov function.
Reading:
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V. Avrutin, P.S. Dutta, M. Schanz, S. Banerjee, Influence of a square-root singularity on the
behaviour of piecewise smooth maps. Nonlinearity 23 (2010), no. 2, 445–463.
D.E. Stewart, Rigid-body dynamics with friction and impact. SIAM Rev. 42 (2000) 3–39.
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R. Dzonou, M.D.P. Monteiro Marques, L. Paoli, A convergence result for a vibro-impact
problem with a general inertia operator. Nonlinear Dynam. 58 (2009) 361–384.
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L. Han, J. Pang, Non-Zenoness of a class of differential quasi-variational inequalities.
Math. Program. 121 (2010), no. 1, Ser. A, 171–199.
P.Glendinning, C.H. Wong, Border collision bifurcations, snap-back repellers, and chaos. Phys.
Rev. E (3) 79 (2009), no. 2, 025202, 4 pp
L. Gardini, F. Tramontana, Snap-back repellers in non-smooth functions. Regul. Chaotic Dyn. 15
(2010), no. 2-3, 237–245.
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D. Shevitz, B. Paden, Lyapunov stability theory of nonsmooth systems. IEEE Trans. Automat. Control
39 (1994), no. 9, 1910–1914.
P. Kowalczyk, Robust chaos and border-collision bifurcations in non-invertible piecewise-linear
maps. Nonlinearity 18 (2005), no. 2, 485–504.
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X. Zhao, Discontinuity mapping for near-grazing dynamics in vibro-impact oscillators, R.A. Ibrahim
(Ed.), et al., Vibro-Impact Dynamics of Ocean Systems and Related Problems (2009) 275–285.
Pontryagin maximum principle
Nonlinear switching manifolds
Common/Multiple
Lyapunov functions
Carolina Biolo
Sue Ann Campbell
SISSA, Italy
University of Waterloo, Canada
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P. Mason, M. Broucke, B. Piccoli, Time optimal swing-up of the planar pendulum. IEEE Trans. Automat.
Control 53 (2008), no. 8, 1876–1886.
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S.A. Reshmin, F.L. Chernousko, Properties of the time-optimal feedback control for a pendulum-like system. J.
Optim. Theory Appl. 163 (2014), no. 1, 230–252.

Y. Horen, B.Z. Kaplan, Improved switching mode oscillators employing generalized switching lines.
International Journal of Circuit Theory and Applications 28 (2000), no. 1, 51-67.Sinha

C. Biolo, A. Agrachev, Switching in time-optimal problem the 3-D case with 2-D control, preprint.
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A.A. Agrachev, D.Liberzon, Lie-algebraic stability criteria for switched systems.
SIAM J. Control Optim. 40 (2001), no. 1, 253–269.
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R. Shorten, F. Wirth, O. Mason, K. Wulff, C. King, Stability criteria for switched and
hybrid systems. SIAM Rev. 49 (2007), no. 4, 545–592.
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S. Kim, S. A. Campbell, X. Liu, Stability of a class of linear switching systems with
time delay. IEEE Trans. Circuits Syst. I Regul. Pap. 53 (2006), no. 2, 384-393.
Mark Spong
University of Texas at Dallas, USA
Reading:
Zoltan
Dombovari
Gouhei Tanaka (The University of Tokyo, Japan)
Cynthia Sanchez Tapia (University of California, USA)
A. Jacquemard, M.A. Teixeira, Periodic
solutions of a class of non-autonomous
second order differential equations with
discontinuous right-hand side. Phys. D
241 (2012), no. 22, 2003–2009.
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Reading:
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Z. Diombovar, A.W.B. David, R.E. Wilson, S.
Gabor, On the global dynamics of chatter in the
orthogonal cutting model, International Journal
of Non-Linear Mechanics 46 (2011) 330–338.
Braking systems
Reading:
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Reading:
H. Jing, Z. Liu, H. Chen, A Switched Control Strategy for Antilock
Braking System With On/Off Valves. IEEE Transactions on
Vehicular Technology, 60 (2011), no. 4, 1470-1484.
C.F. Lee,C. Manzie, Near-time-optimal tracking controller design
for an automotive electromechanical brake. Institution of
Mechanical Engineers, 226 (2012), no. I4, 537-549.
E. de Bruijn, M. Gerard, M. Corno, On the performance increase
of wheel deceleration control through force sensing. 2010 IEEE
Multi-Conference on Systems and Control, IEEE International
Conference on Control Applications, (2010), 161-166.
M. Corno, M. Gerard, M. Verhaegen, Hybrid ABS Control Using
Force Measurement. IEEE Transactions on Control Systems
Technology 20 (2012), no. 5, 1223-1235.
E. Dincmen, B.A. Guvenc, T. Acarman, Extremum-Seeking
Control of ABS Braking in Road Vehicles With Lateral Force
Improvement. IEEE Transactions on Control Systems
Technology, 22 (2014), no. 1, 230-237.
S. Drakunov, U. Ozguner, P. Dix, ABS Control using optimum
search via sliding modes. IEEE Transactions on Control Systems
Technology, 3 (1995), no. 1, 79-85.
T.A. Johansen, I. Petersen, J. Kalkkuhl, Gain-scheduled wheel
slip control in automotive brake systems. IEEE Transactions on
Control Systems Technology, 11 (2003), no. 6, 799-811.
B.J. Olson, S.W. Shaw, G. Stépán, Stability and bifurcation of
longitudinal vehicle braking. Nonlinear Dynam. 40 (2005), no. 4,
339–365.
W. Pasillas, Hybrid modeling and limit cycle analysis for a class of
five-phase anti-lock brake algorithms. 7th International
Symposium on Advanced Vehicle Control, Vehicle System
Dynamics, 44 (2006), no. 2, 173-188.
M. Tanelli, G. Osorio, M. di Bernardo, S.M. Savaresi, A. Astolfi,
Existence, stability and robustness analysis of limit cycles in
hybrid anti-lock braking systems. Internat. J. Control 82 (2009),
no. 4, 659–678.
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Reading:
R. Santiesteban, Time Convergence Estimation of a Perturbed Double Integrator: Family of Continuous
Sliding Mode Based Output Feedback Synthesis. European Control Conference (2013), 3764-3769.
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G. Tanaka, K. Tsumoto, S.Tsuji, K. Aihara, Bifurcation analysis on a hybrid systems model of intermittent hormonal therapy for
prostate cancer. Phys. D 237 (2008), no. 20, 2616–2627.
J. Zhao, W.M. Spong, Hybrid control for global stabilization of the cart-pendulum system. Automatica J. IFAC
37 (2001), no. 12, 1941–1951.
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C. Sanchez Tapia, F.Y.M. Wan, Fastest time to cancer by loss of tumor suppressor genes. Bull. Math. Biol. 76 (2014), no. 11,
2737–2784.
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P. Mason, M. Broucke, B. Piccoli, Time optimal swing-up of the planar pendulum. IEEE Trans. Automat.
Control 53 (2008), no. 8, 1876–1886.
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F.Y.M. Wan, A.V. Sadovsky, N.L. Komarova, Genetic instability in cancer: an optimal control problem. Stud. Appl. Math. 125
(2010), no. 1, 1–38.
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B.E. Paden, S.S. Sastry, A calculus for computing Filippov's differential inclusion with application to the
variable structure control of robot manipulators. IEEE Trans. Circuits and Systems 34 (1987), no. 1, 73–82.
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N.L. Komarova, V.A. Sadovsky, Y.M.F. Wan, Selective pressures for and against genetic instability in cancer: a time-dependent
problem. Journal of the royal society interface 5(2008), no. 18, 105-121.
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B. Lennartson, K. Bengtsson, O. Wigstrom, S. Riazi, Modeling and Optimization of Hybrid
Systems for the Tweeting Factory, IEEE Transactions on Automation Science and Engineering
13 (2016), no. 1, 191-205.
V. Azhmyakov, R. Galvan-Guerra, M. Egerstedt, Hybrid LQ-optimization using Dynamic
Programming, in Proceedings of the 2009 American Control Conference, St. Louis, USA, 2009,
pp. 3617 - 3623.
R. Galvan-Guerra, V. Azhmyakov, M. Egerstedt, On the LQ-based optimization techniques for
impulsive hybrid control systems, in Proceedings of the 2010 American Control Conference,
Baltimore, USA, 2010, pp. 129 - 135.
Hysteresis
Reduction to Zero Dynamics / Invariant manifolds
Michael Posa (Massachusetts Institute of Technology, USA)
Edward Hooton (University of Texas at Dallas)
Arkadi Ponossov
Jim Schmiedeler
Norwegian University of Life Sciences
Computing/Designing
the Poincare map
University of Notre Dame, USA
Luis Aguilar
Instituto Politécnico Nacional
Mexico
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J. Guckenheimer, A robust hybrid stabilization strategy for equilibria. IEEE Trans. Automat. Control 40 (1995), no. 2, 321–326.
Reading:
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A.S. Shiriaev, J. Perram, C. Canudas-de-Wit, Constructive tool for orbital stabilization of underactuated nonlinear systems: virtual constraints approach, IEEE
Trans. Automat. Control 50 (2005), no. 8, 1164–1176.
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A.D. Ames, K. Galloway, K. Sreenath, J.W. Grizzle, Rapidly exponentially stabilizing control Lyapunov functions and hybrid zero dynamics. IEEE
Trans. Automat. Control 59 (2014), no. 4, 876–891.
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K. Pyragas, Control of chaos via extended delay feedback, Phys. Lett. A 206 (1995), no. 5-6, 323-330. E. Hooton
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B. Fiedler, V. Flunkert, M. Georgi, Refuting the odd-number limitation of time-delayed feedback control. Physical Review Letters 98 (2007) 114101. E. Hooton
J.W. Grizzle, G. Abba, F. Plestan, Asymptotically stable walking for biped robots: analysis via systems with impulse effects. IEEE Trans. Automat.
Control 46 (2001), no. 1, 51–64.
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J.M. Gonçalves, Regions of stability for limit cycle oscillations in piecewise linear systems. IEEE Trans. Automat. Control 50 (2005), no. 11, 1877–1882.
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E.R. Westervelt, J.W. Grizzle, D.E. Koditschek, Hybrid zero dynamics of planar biped walkers. IEEE Trans. Automat. Control 48 (2003) 42–56.

I.R. Manchester, U. Mettin, F. Iida, Stable dynamic walking over uneven terrain. International Journal of Robotics Research 30 (2011), no. 3, 265-279.
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V. Andrieu, B. Jayawardhana, L. Praly, On transverse exponential stability and its use in incremental stability, observer and synchronization. IEEE 52nd Annual
Conderence on Decision and Control (2013), 5915-5920.
E. Litsyn, Y.V. Nepomnyashchikh, A. Ponosov, Stabilization of linear differential systems via hybrid feedback controls. SIAM J. Control Optim. 38
(2000), no. 5, 1468–1480.
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M. Posa, M. Tobenkin, R. Tedrake, Stability Analysis and Control of Rigid-Body Systems with Impacts and Friction, IEEE Transactions on Automatic Control, doi:
10.1109/TAC.2015.2459151.
A.E. Martin, D.C. Post, J.P. Schmiedeler, Design and experimental implementation of a hybrid zero dynamics-based controller for planar bipeds
with curved feet. International Journal of Robostics Research 33 (2014), no. 7, 988-1005.
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A. P. Dani, S.-J. Chung, S. Hutchinson, Observer design for stochastic nonlinear systems via contraction-based incremental stability. IEEE Trans. Automat. Control
60 (2015), no. 3, 700–714.
K.A., Hamed N. Sadati, W.A. Gruver, Stabilization of Periodic Orbits for Planar Walking With Noninstantaneous Double-Support Phase. IEEE
Transactions on Systems Man and Cybernetics part A-Systems and and Humans 42 (2012), no. 3, 685-706.
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I. R. Manchester, J.-J. Slotine, Transverse contraction criteria for existence, stability, and robustness of a limit cycle, Systems Control Lett. 63 (2014) 32-38.
I., Poulakakis J.W. Grizzle, The spring loaded inverted pendulum as the hybrid zero dynamics of an asymmetric hopper. IEEE Trans. Automat.
Control 54 (2009), no. 8, 1779–1793.
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R. Szalai, H. M. Osinga, Invariant polygons in systems with grazing-sliding. Chaos 18 (2008), no. 2, 023121, 11 pp.
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D. Weiss; T. Küpper; H. A. Hosham, Invariant manifolds for nonsmooth systems. Phys. D 241 (2012), no. 22, 1895–1902.
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E. Litsyn, Y. Nepomnyashchikh, A.Ponosov. Classification of linear dynamical systems in the plane admitting a stabilizing hybrid feedback control.
Journal on Dynamical and Control Systems, v. 6, no. 4 (2000), pp. 477-501.
Chattering
output
Dmitrii Rachinskii (University of Texas at Dallas, USA)
Nikita Begun (Free University of Berlin, Germany)
Dinesh Ekanayake (Western Illinois University, USA)
Tamas Kalmar-Nagy (Budapest University of Technology and Economics, Hungary)
input
Petri Piiroinen (National University of Ireland)
Harry Dankowicz (University of Illinois, USA)
Andrew Lamperski (University of Minnesota, USA)
Reading:
Reading:
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K.H. Johansson, A.E. Barabanov, K.J. Åström, Limit cycles with chattering in relay feedback systems. IEEE Trans. Automat. Control 47 (2002), no. 9, 1414–1423.
Reading:

M.R. Jeffrey, Hidden dynamics in models of discontinuity and
switching. Phys. D 273/274 (2014) 34-45.

O. Makarenkov, Bifurcation of limit cycles from a fold-fold singularity in planar switched systems, arXiv:1603.03117
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E. Ponce, J. Ros, E. Vela, A unified approach to piecewise linear Hopf and Hopf-pitchfork bifurcations. Analysis, modelling, optimization, and numerical techniques,
173–184, Springer Proc. Math. Stat., 121, Springer, Cham, 2015.
G.Licskó, G. Csernák, On the chaotic behaviour of a simple
dry-friction oscillator. Math. Comput. Simulation 95 (2014), 55–
62.
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E. Hooton, Z. Balanov, W. Krawcewicz, D. Rachinskii, Sliding Hopf bifurcation in interval systems, arXiv:1507.08596.
T. Kalmar-Nagy, R. Csikja, T. A. Elgohary, Nonlinear analysis of a 2-DOF piecewise linear aeroelastic system, Nonlinear Dynamics, 2016, online first..
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A. Nordmark, H. Dankowicz, A. Champneys, Friction-induced reverse chatter in rigid-body mechanisms with impacts. IMA J. Appl. Math. 76 (2011), no. 1, 85–119.
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M.Guardia, T. M. Seara, M. A. Teixeira, Generic bifurcations of low codimension of planar Filippov systems. J. Differential Equations 250 (2011), no. 4, 1967–2023.

D. B. Ekanayake, R. V. Iyer, Proportional Derivative Control of Hysteretic Systems. SIAM Journal on Control and Optimization 51, no. 5, 3415–3433.

A.B. Nordmark, P.T. Piiroinen, Simulation and stability analysis of impacting systems with complete chattering. Non-linear Dynamics 58 (2009), no. 1-2, 85-106.

D.J.W. Simpson, J.D. Meiss, Andronov-Hopf bifurcations in planar, piecewise-smooth, continuous flows. Phys. Lett. A 371 (2007), no. 3, 213–220.

M. Zeitz, P. Gurevich, H. Stark, Feedback control of flow vorticity at low Reynolds numbers. European Physical Journal E 38 (2015), no. 3, 22.

J. Zhang, K.H. Johansson, J. Lygeros, S. Sastry. Dynamical systems revisited: hybrid systems with Zeno executions. In Hybrid Systems: Computation and Control
(HSCC '00), Springer-Verlag, LNCS 1790, pp. 451-464, 2000.

M. R. Jeffrey, D. J. W. Simpson, Non-Filippov dynamics arising from the smoothing of nonsmooth systems, and its robustness to noise. Nonlinear Dynam. 76
(2014), no. 2, 1395–1410.

M. Heymann, F. Lin, G. Meyer, S. Resmerita, Analysis of Zeno behaviors in a class of hybrid systems. IEEE Trans. Automat. Control 50 (2005), no. 3, 376–383.

M. di Bernardo, C.J. Budd, A.R. Champneys, P. Kowalczyk, Piecewise-smooth dynamical systems. Theory and applications. Springer, 2008. 481 pp

A. Lamperski, A.D. Ames, Lyapunov theory for Zeno stability. IEEE Trans. Automat. Control 58 (2013), no. 1, 100–112.
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X. Wei, L. Guzzella, V.I. Utkin,
Model-based fuel optimal control of
hybrid electric vehicle using variable
structure control systems. Journal of
Dynamic Systems Measurement and
Control 129 (2007), no. 1 13-19.
M.G. Wu, A.V. Sadovsky, MinimumCost Aircraft Descent Trajectories
with a Constrained Altitude Profile,
NASA/TM-2015-218734 report
University of Minnesota, USA
Amity University, India
Reading:
Reading:
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M.A. Hassouneh, E.H. Abed, Border Collision Bifurcation
Control of Cardiac Alternans, Proc. American Control
Conference, Denver, Colorado June 4-6.2003, 459-464.
E.G. Tolkacheva, X. Zhao, Nonlinear dynamics of
periodically paced cardiac tissue. Nonlinear dynamics 68
(2012), no. 3, 347-363.
Reading:
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A. Mukhopadhyay, P. Ranjan, Nonlinear Instabilities in
D2TCP-II, arXiv:1212.6907.

P. Ranjan, E.H. Abed, R.J. La, Nonlinear instabilities in TCPRED. IEEE-ACM Transactions on Networking 12 (2004), no.
6, 1079-1092.
C. Bazsó, A.R. Champneys, C.J. Hös, Bifurcation
Analysis of a Simplified Model of a Pressure Relief
Valve Attached to a Pipe, SIAM J. Appl. Dyn. Syst. 13
(2014), no. 2, 704–721.
Materials
science
Earthquake
fault
Microscopy

V.A. Kovtunenko, K. Kunisch, W. Ring, Propagation
and bifurcation of cracks based on implicit surfaces
and discontinuous velocities. Comput. Vis. Sci. 12
(2009), no. 8, 397–408.
Reading:
C. R. Farrar, K. Worden, M. D. Todd, G. Park, J.
Nichols, D. E. Adams, M. T. Bement, K. Farinholt,
Nonlinear System Identification for Damage
Detection, LA-14353 report.


Hard ball gas
Xiaopeng Zhao
Reading:

J.M. Gonçalves, A. Megretski, M.A. Dahleh, Global analysis of piecewise linear
systems using impact maps and surface Lyapunov functions. IEEE Trans.
Automat. Control 48 (2003), no. 12, 2089–2106.
T. Küpper; H.A. Hosham; D. Weiss, Bifurcation for non-smooth dynamical systems via reduction methods. Recent trends in dynamical systems, 79–105, Proc.
Math. Stat., 35, Springer, 2013.



Q. Li, Y. Chen, Z. Qin, Existence of Stick-Slip Periodic
Solutions in a Dry Friction Oscillator. Chinese Physics Letters
28 (2011), no. 3, 030502.
Reading:
Priya
Ranjan
M.J. Coleman, A. Chatterjee, A. Ruina, Motions of a rimless spoked wheel: a
simple three-dimensional system with impacts. Dynam. Stability Systems 12
(1997), no. 3, 139–159.

C. Budd, F. Dux, Chattering and related behavior in impact oscillators. Phil. Trans. Royal Soc. A 347 (1994), no. 1683, 365-389.
Alena
Talkachova

E.I. Butikov, Spring pendulum with dry and viscous damping.
Communications in Nonlinear Science and Numerical
Simulation 20 (2015), no. 1, 298-315.

Reading:
K.J. Åström, Oscillations in systems with relay feedback. Adaptive control,
filtering, and signal processing. IMA Vol. Math. Appl. 74, Springer, New York,
1995.

T. Kalmár-Nagy, P. Wahi, A. Halder, Dynamics of a hysteretic relay oscillator with periodic forcing. SIAM J. Appl. Dyn. Syst. 10 (2011), no. 2, 403–422.
Pressure
relief
valve

N. Begun, S. Kryzhevich, One-dimensional chaos in a system
with dry friction: analytical approach. Meccanica 50 (2015), no.
8, 1935–1948.

Internet
Protocol
C. Lin, Wang, Q.G. Lee, H. Tong. Local stability of limit cycles for MIMO relay
feedback systems. J. Math. Anal. Appl. 288 (2003), no. 1, 112–123.

D.R.J. Chillingworth, Dynamics of an impact oscillator near a degenerate graze. Nonlinearity 23 (2010), no. 11, 2723–2748.
Cardiac
alternans

Reading:

Fuel
consumption
L.T. Aguilar, I.M. Boiko, L.M. Fridman, L.B. Freidovich,. Generating oscillations in
inertia wheel pendulum via two-relay controller. Internat. J. Robust Nonlinear
Control 22 (2012), no. 3, 318–330.
Stick-slip
oscillations
S. McCarthy, D. Rachinskii, Dynamics of systems with Preisach memory near equilibria. Math. Bohem. 139 (2014), no. 1, 39–73.
s

Bifurcation approach
David Simpson (Massey University, New Zealand)
Tassilo Kuepper (University of Cologne, Germany)
Oleg Makarenkov (University of Texas at Dallas)
Javier Ros (University of Seville, Spain)
Zalman Balanov (University of Texas at Dallas)

A. Wang, Y. Xiao, R.A. Cheke, Global dynamics of a piece-wise epidemic model with switching vaccination strategy. Discrete
Contin. Dyn. Syst. Ser. B 19 (2014), no. 9, 2915–2940.
Q. Wei, W.P. Dayawansa, W.S. Levine, Nonlinear controller for an inverted pendulum having restricted travel.
Automatica J. IFAC 31 (1995), no. 6, 841–850.

1
Reading:

Improving stability
Reading:
B. Brogliato, Nonsmooth mechanics, Springer, 2016, 629 pp.
M.S. Branicky, Multiple Lyapunov functions and other analysis tools for switched and
hybrid systems. IEEE Trans. Automat. Control 43 (1998), no. 4, 475–482.
Switching therapy/mutation rate
0
1
Vadim Azhmyakov
J. Bastien, F. Bernardin, C.-H. Lamarque, Non Smooth Deterministic or Stochastic
Discrete Dynamical Systems: Applications to Models with Friction or Impact, Wiley
2013, 512 pp..
Reading:
Robot manipulator
Budapest University of Technology
and Economics, Hungary

0
Chalmers University of Technology,
Sweden
R.I. Leine, T.F. Heimsch, Global uniform symptotic attractive stability of the nonautonomous bouncing ball system. Phys. D 241 (2012), no. 22, 2029–2041.
Reading:
Orthogonal
cutting
R.A. DeCarlo, M.S. Branicky, S.
Pettersson, Perspectives and results on
the stability and stabilizability of hybrid
systems. Proceedings of the IEEE, 88
(2000), no. 7, 1069-1082.

Bengt Lennartson
S.Adly, D. Goeleven, A stability theory for second-order nonsmooth dynamical systems
with application to friction problems. J. Math. Pures Appl. (9) 83 (2004) 17–51..

Cruise
Control

Universidad de Medellin, Colombia

J.A. Moreno, M. Osorio, Strict Lyapunov functions for the super-twisting algorithm. IEEE Trans.
Automat. Control 57 (2012) 1035–1040.
G. Colombo, M. Fečkan, B. M. Garay, Multivalued perturbations of a saddle
dynamics. Differ. Equ. Dyn. Syst. 18 (2010), no. 1-2, 29–56.
Reading:
H.E. Nusse, E. Ott, J.A. Yorke, Border-collision bifurcations: an explanation for observed bifurcation
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Networks (consensus, scheduling, etc)
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Alexander Sadovsky (NASA Ames Research Center, USA)
Qing Hui (University of Nebraska – Lincoln, USA)
Nicholas Gans (University of Texas at Dallas, USA)
Enrique Ponce (University of Seville, Spain)
Valentina Sessa (Rio de Janeiro State University, Brazil)
Amit Patra (Indian Institute of Technology Kharagpur)
Bengt Lennartson (Chalmers University of Technology, Sweden)
Alexander Ivanov (Moscow Institute of Physics and Technology)
Tassilo Kuepper (University of Cologne, Germany)
Petri Piiroinen (National University of Ireland)
Michele Bonnin (Politecnico di Torino, Italy)
Wilten Nicola
Irakli Loladze
Imperial College London, UK
Arizona State University, USA
Kyle Wedgwood
Amit Bhaya
University of Nottingham, UK
Universidade Federal do Rio de Janeiro, Brazil
Reading:
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Reading:
Reading:
Yildirim Hurmuzlu (Southern Methodist University, USA)
Jae-Sung Moon (UNIST University, Korea)
Andrew Lamperski (University of Minnesota, USA)
Mark Spong (University of Texas at Dallas, USA)
Robert Gregg (University of Texas at Dallas, USA)
Safya Belghith (National Engineering School of Tunis)
Hamid Reza Fahham (Marvasht Islamic Azad University, Iran)
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Climate change
Kaitlin Hill
Northwestern University, USA
Drillstring
dynamics
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Esther Widiasih
University of Hawaii, USA
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