A new Lyapunov approach to stability analysis of discrete-time switched linear singular systems

Author

Bo, Men ; Xiaosong, Li ; Qingling, Zhang

Author_Institution

Inst. of Syst. Sci., Northeastern Univ., Shenyang, China

fYear

2010

fDate

26-28 May 2010

Firstpage

2464

Lastpage

2468

Abstract

In this paper, multiple Lyapunov functions and Lyapunov inequalities are used to investigate the stability of discrete-time switched linear singular (DSLS) systems. Based on the existing criteria of stability for discrete-time switched systems, a sufficient condition of stability of DSLS for arbitrary switching laws is proposed in terms of a set of coupled strict linear inequalities. Then a method to construct a class of multiple Lyapunov functions is presented. Finally, an example is given to illustrate the main results in this paper.

Keywords

Lyapunov methods; discrete time systems; linear matrix inequalities; linear systems; stability; Lyapunov inequalities; arbitrary switching laws; coupled strict linear inequalities; discrete-time switched linear singular system; multiple Lyapunov functions; stability analysis; Control system synthesis; Control theory; DSL; Equations; Laser sintering; Lyapunov method; Stability analysis; Stability criteria; Sufficient conditions; Switched systems; discrete-time switched singular systems; multiple Lyapunov; stability; strict linear Lyapunov inequalities;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2010 Chinese

Conference_Location

Xuzhou

Print_ISBN

978-1-4244-5181-4

Electronic_ISBN

978-1-4244-5182-1

Type

conf

DOI

10.1109/CCDC.2010.5498785

Filename

5498785