Course Title : State Space Theory of Dynamical Systems

Code 10C628
Course Year Master Course
Term 1st term
Class day & Period Wed 3rd
Location
Credits 2
Restriction No Restriction
Lecture Form(s) Lecture
Language Japanese or English
Instructor T. Hagiwara, Y. Ebihara

Course Description

The course deals with the dynamical system theory based on linear time-invariant state equations. It covers such topics as state equations, controllability and observability, mode decomposition and its relevance to controllability/observability, stability of dynamical systems, and the Kalman canonical decomposition.

Grading

The grading will be based on the exam.

Course Goals

To acquire the knowledge on the basic theory for linear system analysis by means of state equations.

Course Topics

Theme Class number of times Description
feedback systems and state equations 3?4 fundamentals of state equations, their relationship to transfer functions and block diagram representations
responses of linear systems 5?6 state transition matrices, equivalence transformation of systems, mode decomposition and Lyapunov stability
controllability and observability 5?6 controllability and observability, mode decomposition and its relevance to controllability/observability, controllable subspace and unobservable subspace, and the Kalman canonical decomposition; Checking degrees of understanding of all the lecture topics closes the class.

Textbook

Textbook(supplemental)

Prerequisite(s)

classical control theory (in terms of transfer functions), linear algebra and calculus

Independent Study Outside of Class

Web Sites

Additional Information

Handouts will be given at the class.