Department of Electrical & Computer Engineering
University of Tennessee
Course Title: Linear Systems Theory Course Code: ECE 511
Credit Hours: 3 Corequisite: ECE 507
Instructor: Dr. Seddik M. Djouadi E-Mail: djouadi@ece.utk.edu
Office # Ferris 307 Tel: (865) 974-5447
Office Hours: Thursday 1:30PM – 3:00 PM, Friday 10:30AM-12:00PM or by Appointment
Text Book :
Wilson J. Rugh, Linear System Theory, second edition, Prentice-Hall 1996.
References:
J. Dwight Aplevich, Linear State-Space Systems, John Wiley 2000.
F.M.Callier, C.A. Desoer, Linear System Theory, Springer-Verlag 1991.
C.A. Desoer, Notes for a Second Course in Linear Systems, Van Nostrand Reinhold, 1970.
C.T. Chen, Linear Systems Theory and Design, Holt, Rinehart, Winston 1984.
The following schedule is approximate and subject to change. You will be responsible for any changes that are announced in class and for all the material covered in class.
Tentative Schedule
Week 1
•
Course overview
•
Mathematics Review
Week2
•
State Space Representation
•
Linearization
Week 3
•
Solution of State Equations
Week 4
•
Properties of the State Transition Function
Week 5
•
The Linear-Time Invariant Case
•
Periodic Systems – Floquet Decomposition

Week 6
•
Internal Stability
Week 7
•
Mid-Term Exam
•
Lyapunov Stability Criteria
Week 8
•
Additional Stability Criteria
Week 9
•
Controllability and Observability
Week 10
•
Realizability
Week 11
•
Minimal Realizations
Week 12
•
Input-Output Stability
Week 13
•
Controllable Canonical Form
•
Observable Canonical Form
Week 14
•
Linear Feedback
•
State Observers
Grading (Tentative):
Homework 30% ( No late assignment will be accepted unless you
have a legitimate excuse.
) Computer work requires
Matlab for the homework. An ECE student account
is necessary – get one now.
Mid-Term Exam 30%
Final Exam. 40%
Grades 90%
≤
A
≤
100 %, 85%
≤
B
+ <
89 %, 80%
≤
B
<
84 %, 75%
≤
C
+ <
79 %, 70%
≤
C
<
74
%, 60%
≤
D
<
69 %, F
<
60 %