Delay-range-dependent exponential stability for switched time-varying delay systems

Author

Ma, Dan ; Zhao, Jun

Author_Institution

Coll. of Inf. Sci. & Eng., Northeastern Univ., Shenyang

fYear

2008

fDate

2-4 July 2008

Firstpage

4044

Lastpage

4048

Abstract

In this paper, delay-range-dependent exponential stability for a class of switched time-varying delay systems has been studied. A descriptor representation is given and Lyapunov-Krasovskii technique is used to analyze the switched control systems with time-varying delay in a range. A delay-range-dependent criterion is presented, which guarantee the exponential stability of switched time delay systems. The delay-range-dependent exponential stability is given in terms of linear matrix inequalities (LMIs) solution under a certain switching signal to be designed.

Keywords

Lyapunov methods; asymptotic stability; control system synthesis; delays; linear matrix inequalities; time-varying systems; Lyapunov-Krasovskii technique; delay-range-dependent exponential stability; descriptor representation; linear matrix inequalities; switched control systems; switched time-varying delay systems; Control system analysis; Control systems; Delay effects; Delay systems; Linear matrix inequalities; Lyapunov method; Stability analysis; Stability criteria; Switched systems; Time varying systems; Delay-range-dependent; Exponential stability and Time-varying delay; Switched delay systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference, 2008. CCDC 2008. Chinese

Conference_Location

Yantai, Shandong

Print_ISBN

978-1-4244-1733-9

Electronic_ISBN

978-1-4244-1734-6

Type

conf

DOI

10.1109/CCDC.2008.4598091

Filename

4598091