Robust stability criteria for uncertain nonlinear delay systems

Author

Xu, Zhaodi ; Li, Xiaoyi

Author_Institution

Sch. of Math. & Syst. Sci., Shenyang Normal Univ., Shenyang, China

fYear

2010

fDate

26-28 May 2010

Firstpage

1966

Lastpage

1970

Abstract

The problem of robust stability for a class of uncertain delay systems is investigated. The system under consideration involves time-varying delay and nonlinear uncertainties. Based on the Lyapunov method, a new delay-dependent criterion for asymptotic stability is derived in terms of LMI (linear matrix inequality). A numerical example is given to show the effectiveness of the results.

Keywords

Lyapunov methods; asymptotic stability; delay systems; linear matrix inequalities; nonlinear control systems; robust control; stability criteria; time-varying systems; uncertain systems; Lyapunov method; asymptotic stability; delay dependent criterion; linear matrix inequality; robust stability criteria; time-varying delay; uncertain nonlinear delay system; Delay systems; Linear matrix inequalities; Lyapunov method; Mathematical model; Matrix decomposition; Robust stability; Stability analysis; Symmetric matrices; Time varying systems; Uncertainty; Lyapunov method; Time-varying delay; linear matrix inequality; robust stability;

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.2010.5498843

Filename

5498843