Quadratic stability and stabilization of discrete-time switched systems with state delay

Author

Xie, Guangming ; Wang, Long

Author_Institution

Dept. of Mech. & Eng. Sci., Peking Univ., Beijing, China

Volume

3

fYear

2004

fDate

17-17 Dec. 2004

Firstpage

3235

Abstract

In this paper, the problem of stability analysis and control synthesis of discrete-time switched systems with delayed states is addressed. Two different linear matrix inequality-based conditions are given which guarantee the existence of a switched quadratic Lyapunov function for asymptotic stability of the switched systems under consideration. The obtained linear matrix inequality conditions can also be used to solve the control synthesis problem.

Keywords

Lyapunov methods; asymptotic stability; control system analysis; control system synthesis; delays; discrete time systems; linear matrix inequalities; time-varying systems; asymptotic stability; control synthesis; discrete-time switched systems; quadratic stability; stability analysis; stabilization; state delay; switched quadratic Lyapunov function; Asymptotic stability; Control system synthesis; Control systems; Delay effects; Delay systems; Linear matrix inequalities; Linear systems; Lyapunov method; Stability analysis; Switched systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2004. CDC. 43rd IEEE Conference on

Conference_Location

Nassau

ISSN

0191-2216

Print_ISBN

0-7803-8682-5

Type

conf

DOI

10.1109/CDC.2004.1428972

Filename

1428972