Title :
Robust stability criteria for uncertain nonlinear delay systems
Author :
Xu, Zhaodi ; Li, Xiaoyi
Author_Institution :
Sch. of Math. & Syst. Sci., Shenyang Normal Univ., Shenyang, China
Abstract :
The problem of robust stability for a class of uncertain delay systems is investigated. The system under consideration involves time-varying delay and nonlinear uncertainties. Based on the Lyapunov method, a new delay-dependent criterion for asymptotic stability is derived in terms of LMI (linear matrix inequality). A numerical example is given to show the effectiveness of the results.
Keywords :
Lyapunov methods; asymptotic stability; delay systems; linear matrix inequalities; nonlinear control systems; robust control; stability criteria; time-varying systems; uncertain systems; Lyapunov method; asymptotic stability; delay dependent criterion; linear matrix inequality; robust stability criteria; time-varying delay; uncertain nonlinear delay system; Delay systems; Linear matrix inequalities; Lyapunov method; Mathematical model; Matrix decomposition; Robust stability; Stability analysis; Symmetric matrices; Time varying systems; Uncertainty; Lyapunov method; Time-varying delay; linear matrix inequality; robust stability;
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.2010.5498843