Delay-dependent stability criteria for a class of linear systems with multiple time-varying delays and nonlinear perturbations

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

7246

Lastpage

7249

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 Lyapunov stability theory combined with linear matrix inequalities (LMIs) techniques, LMIs are derived by taking the relationship between the Leibniz-Newton formula and free weighting matrices, The free terms are chosen according to the derivative of the Lyapunov-Krasovshii functional, the stability criteria are more general than the exiting results.

Keywords

Lyapunov methods; Newton method; delays; linear matrix inequalities; linear systems; nonlinear control systems; perturbation techniques; robust control; stability criteria; time-varying systems; LMI; Leibniz-Newton formula; Lyapunov stability theory; Lyapunov-Krasovshii function; delay-dependent robust stability criteria; free weighting matrix; linear matrix inequality; linear system; multiple time-varying delay; nonlinear perturbation; Asymptotic stability; Automation; Delay; Educational institutions; Linear matrix inequalities; Linear systems; Robust stability; Stability criteria; Time varying systems; Transmission line matrix methods; Delay-dependent; linear matrix inequalities; 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.2008.4594046

Filename

4594046