Stability results for switched linear systems

Author

Mitra, Raja ; Tarn, Tzyh-Jong ; Dai, Liyi

Author_Institution

Indian Inst. of Technol., Kharagpur, India

Volume

3

fYear

2001

fDate

2001

Firstpage

1884

Abstract

Hybrid systems which are capable of exhibiting simultaneously several kinds of dynamic behavior in different parts of a system are drawing tremendous attention. The paper is devoted to one of the most challenging issues in, the arena of hybrid systems-the stability analysis of hybrid systems. Despite the variety and significance of the many results on hybrid system stability, general necessary and sufficient conditions in terms of the structure of the vector fields have evaded discovery. The paper addresses the issue of structural stability results of a class of hybrid systems-the switched linear system-and provides sufficient and non-conservative results for stability of such systems. A dual result, which provides the necessary condition for stability of such systems is also provided

Keywords

linear systems; matrix algebra; stability; time-varying systems; dynamic behavior; hybrid systems; necessary condition; nonconservative results; stability analysis; structural stability; sufficient condition; switched linear systems; Automata; Decision making; Humans; Linear systems; Logic; Lyapunov method; Stability analysis; Structural engineering; Tail; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2001. Proceedings of the 2001

Conference_Location

Arlington, VA

ISSN

0743-1619

Print_ISBN

0-7803-6495-3

Type

conf

DOI

10.1109/ACC.2001.946012

Filename

946012