Title :
A new delay-dependent stability criterion of fuzzy systems with interval time-varying delay
Author :
Yang, Xingxu ; Jiang, Xiefu ; Ge, Xiaohua
Author_Institution :
Sch. of Autom., Hangzhou Dianzi Univ., Hangzhou, China
Abstract :
A new delay bisection approach has been proposed to solving the problem of the stability of fuzzy systems with interval time-varying delay. The time-delay is assumed to be a time-varying function belonging to a given interval. Based on a Lyapunov-Krasovskii functional, a new sufficient condition on the asymptotical stability of the system is obtained by using the delay bisection method. Two numerical examples are also given to show the effectiveness of the proposed stability criterion.
Keywords :
Lyapunov methods; asymptotic stability; delays; fuzzy control; fuzzy systems; stability criteria; time-varying systems; Lyapunov-Krasovskii functional; asymptotical stability; delay bisection method; fuzzy system; stability criterion; time-varying delay; time-varying function; Asymptotic stability; Delay; Fuzzy systems; Numerical stability; Stability criteria; Time varying systems; Delay bisection approach; Fuzzy; Linear matrix inequality (LMI); Stability; Takagi-Sugeno (T-S) model;
Conference_Titel :
Intelligent Control and Automation (WCICA), 2010 8th World Congress on
Conference_Location :
Jinan
Print_ISBN :
978-1-4244-6712-9
DOI :
10.1109/WCICA.2010.5554616
