Linear Dynamic Systems

4 units · Graduate courses (200-299)

Lecture, four hours; outside study, eight hours. Requisites: course 171A, Mathematics 33A. Introduction to analysis of linear systems in state-space form. Review of linear algebra results such as the Cayley-Hamilton theorem and singular value decompositions. Study of solution of the state equations, stability, transmission zeros, controllability, and observability. Also covers realizations of transfer functions, minimality, and model reduction. Letter grading.