Title :
Delay-dependent stability criteria for uncertain neutral systems
Author :
Liu, Chang ; Xu, Zhaodi ; Zhong, Guangxin
Author_Institution :
Sch. of Math. & Syst. Sci., Shenyang Normal Univ., Shenyang, China
Abstract :
In this paper, the problem of delay-dependent stability criteria for a class of constant time-delay neutral systems with time-varying structured uncertainties is investigated. By using Lyapunov-Krasovskii functional that splits the whole delay interval into two subintervals and defines different Lyapunov function on each subinterval. The asymptotic stability criteria and robustly stability criteria are presented in terms of strict linear matrix inequalities (LMIs). Two numerical examples are given to indicate that the results presented in this paper are effective and less conservative than some existing results.
Keywords :
Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; robust control; time-varying systems; uncertain systems; Lyapunov-Krasovskii functional; asymptotic stability criteria; delay-dependent stability criteria; linear matrix inequalities; robustly stability criteria; time-varying structured uncertainties; uncertain neutral systems; Asymptotic stability; Delay effects; Linear matrix inequalities; Lyapunov method; Mathematics; Robust stability; Stability criteria; Symmetric matrices; Time varying systems; Uncertainty; Neutral systems; delay-dependent criteria; linear matrix inequality (LMI); uncertainty;
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
DOI :
10.1109/CCDC.2010.5498827