Stability criteria analysis for a class of multiple time-delays systems: An integral-equality approach

Author

Li, Boren ; Xu, Bugong ; Shi, Xuguang

Author_Institution

Coll. of Autom. Sci. & Eng., South China Univ. of Technol., Guangzhou

fYear

2008

fDate

25-27 June 2008

Firstpage

7242

Lastpage

7245

Abstract

This paper deals with the problem of delay-dependent robust stability for a class of linear systems with multiple time-varying delays and nonlinear perturbations. Based on an integral-equality approach, the integral equality is an improved version of integral inequality and is constructed with free weighting matrices. The free terms are chosen according to the derivative of the Lyapunov-Krasovshii employed. the stability criteria are more general than the exiting results.

Keywords

Lyapunov methods; delay systems; integral equations; linear systems; perturbation techniques; robust control; stability criteria; time-varying systems; Lyapunov-Krasovshii employed; delay-dependent robust stability; free weighting matrices; integral-equality approach; linear systems; multiple time-delays systems; multiple time-varying delays; nonlinear perturbations; stability criteria analysis; Asymptotic stability; Automation; Delay; Educational institutions; Linear systems; Robust stability; Stability criteria; Time varying systems; Transmission line matrix methods; Upper bound; Delay-dependent; integral-equality approach; nonlinear perturbations; robust stability; stability criteria;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2008. WCICA 2008. 7th World Congress on

Conference_Location

Chongqing

Print_ISBN

978-1-4244-2113-8

Electronic_ISBN

978-1-4244-2114-5

Type

conf

DOI

10.1109/WCICA.2008.4594045

Filename

4594045