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linear systems theory 2

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LINEAR SYSTEMS THEORY II METU EE502 - SPRING 2014 Instructor: Emre Tuna; C103; [email protected] Web: www.eee.metu.edu.tr/∼tuna/ee502/ Scope: This course provides an introduction to linear systems theory covering basic concepts such as system representation, stability, controllability, observability, state feedback, state esti- mation, and realization. Textbook: J.P. Hespanha. Linear Systems Theory. Princeton Press, 2009. Prerequisite: EE501 or equivalent. Grading: There will be two midterm exams and one final exam. Course outline Text 1. System Representation a) State-space linear systems b) Linearization c) Transfer function 2. System Solution a) Solutions to LTV systems b) Solutions to LTI systems c) Solutions to LTI systems: Jordan form 4. Stability a) Lyapunov stability b) Input-output stability 5. Controllability and State Feedback a) Controllable and reachable subspaces b) Controllable systems c) Controllable decompositions d) Stabilizability 6. Observability and Output Feedback a) Observability b) Output feedback c) Minimal realizations Ch. 1-4 Ch. 5-7 Ch. 8-9 Ch. 11-14 Ch. 15-17

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Page 1: linear systems theory 2

LINEAR SYSTEMS THEORY II

METU EE502 - SPRING 2014

Instructor: Emre Tuna; C103; [email protected]

Web: www.eee.metu.edu.tr/∼tuna/ee502/

Scope: This course provides an introduction to linear systems theory covering basic conceptssuch as system representation, stability, controllability, observability, state feedback, state esti-mation, and realization.

Textbook: J.P. Hespanha. Linear Systems Theory. Princeton Press, 2009.

Prerequisite: EE501 or equivalent.

Grading: There will be two midterm exams and one final exam.

Course outline Text

1. System Representation

a) State-space linear systems

b) Linearization

c) Transfer function

2. System Solution

a) Solutions to LTV systems

b) Solutions to LTI systems

c) Solutions to LTI systems: Jordan form

4. Stability

a) Lyapunov stability

b) Input-output stability

5. Controllability and State Feedback

a) Controllable and reachable subspaces

b) Controllable systems

c) Controllable decompositions

d) Stabilizability

6. Observability and Output Feedback

a) Observability

b) Output feedback

c) Minimal realizations

Ch. 1-4

Ch. 5-7

Ch. 8-9

Ch. 11-14

Ch. 15-17

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