Title :
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
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;
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
DOI :
10.1109/WCICA.2008.4594045
