You are here

Linear System Theory

coursetab

c_weekno	Title	Body
1	Intorduction Definition of linear systems Linear time invariant (LTI) systems
10	Conditions in Jordan form equations Discrete time state equations Controllability after sampling LTV state equations
11	Implications of coprimeness Computing alanced realization Realizations from Markov parameters Degree of transfer matrices
12	Minimal realizations-matric case Matrix polynormal fractions Realizations from matrix coprime fractions Realizations from matrix markov parameters
13	State tracking Regualtion and tracking State estimators Feedback from estimated states
14	State feedback-multivariable case State estimators-multivariable case Feedback from estimated states-multivariable case
15	Poleplacement Model matching Final Exam.
2	Linearization Linear system examples Discrete time systems
3	Basis, Representation, and orthonormalization Linear algebraic equations Similarity transformation Diagonal form and Jordan form Functions fo square matrix
4	Lyapunov equations Useful formulas for linear systems Quadratic form and positive definiteness Singular value decomposition Norms of matrices
5	Solution of LTI state equations Equivalent state equations Realizations
6	Solution of linear time varying (LTV) systems Equivalent time varying systems Time varying realizations
7	Input output stability of LTI systems Internal stability
8	Lyapunov theorem Stability of LTV systems Mid-term Exam.
9	Controllability Observability Canonical Decomposition

code:

4541.512_2010S

level:

year:

term:

staff:

Prof. Choi, Jin Young

c_regdate:

2011-02-25 10:56:53

department:

Electrical and Computer Engineering