Course Code: Corequisite: Department of Electrical & Computer Engineering

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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:

[email protected]

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 %

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