Title :
Further results on robust stability of system with mixed time-varying delays and nonlinear perturbations
Author :
Zhang Fen ; Zhang Yan-Bang
Author_Institution :
Coll. of Math. & Inf. Sci., Xianyang Normal Univ., Xianyang, China
Abstract :
This paper is concerned with the stability analysis for linear systems with interval time-varying delay and nonlinear perturbations. An appropriate Lyapunov-Krasovskii functionals is proposed and, splitting the known bounds of the delay interval in two subintervals, new delay-range-dependent stability criteria are established in terms of linear matrix inequalities. Finally, illustrative examples are given to show the validity of the proposed approach.
Keywords :
Lyapunov methods; delays; linear matrix inequalities; linear systems; perturbation techniques; robust control; stability criteria; time-varying systems; Lyapunov-Krasovskii functionals; delay-range-dependent stability criteria; interval time-varying delays; linear matrix inequalities; linear systems; nonlinear perturbations; system robust stability analysis; Asymptotic stability; Delay; Delay effects; Stability criteria; Time varying systems; Upper bound; Interval delays; LMIs; Nonlinear perturbations; Time-varying delay;
Conference_Titel :
Control Conference (CCC), 2011 30th Chinese
Conference_Location :
Yantai
Print_ISBN :
978-1-4577-0677-6
Electronic_ISBN :
1934-1768