Title :
New stability criteria for neutral systems with interval time-varying delays and nonlinear perturbations
Author :
Zhang, Ao ; Xu, Zhao-Di ; Liu, Dong
Author_Institution :
Sch. of Math. & Syst. Sci., Shenyang Normal Univ., Shenyang, China
Abstract :
This paper concerns the problem of the asymptotic stability problem for neutral system with interval time-varying delays and two classes of uncertainties. Based on the Lyapunov method, a sufficient delay-dependent criterion for asymptotic stability is derived in terms of linear matrix inequality (LMI). Slack variables and convex combination technique are adopted to reduce the conservatism of obtained results. A numerical example is given to show the effectiveness of proposed method.
Keywords :
Lyapunov methods; asymptotic stability; delay systems; linear matrix inequalities; nonlinear control systems; perturbation techniques; time-varying systems; uncertain systems; LMI; Lyapunov method; asymptotic stability; convex combination; interval time-varying delay; linear matrix inequality; neutral system; nonlinear perturbation; slack variables; Asymptotic stability; Delay; Mathematics; Robust stability; Stability criteria; Time varying systems; Lyapunov method; Neutral systems; Nonlinear perturbations; Time-varying delay;
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968766
