Title :
Delay-dependent exponential stability for uncertain neutral stochastic linear systems with interval time-varying delay
Author :
Chen, Huanting ; Zhu, C.
Author_Institution :
Dept. of Math., Nanchang Univ., Nanchang, China
Abstract :
This study mainly considers the problem for the robustly exponential stability of uncertain neutral stochastic linear systems with a delay varying in an interval. By constructing an augmented Lyapunov-Krasovskii functional, some new delay-dependent exponential stability criteria for such systems are established in terms of linear matrix inequalities, which involve fewer matrix variables and have less conservatism. Three illustrative numerical examples are given to show the effectiveness of the proposed method.
Keywords :
Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; linear systems; robust control; stability criteria; stochastic systems; uncertain systems; augmented Lyapunov-Krasovskii functional; delay-dependent exponential stability criteria; interval time-varying delay; linear matrix inequalities; matrix variables; uncertain neutral stochastic linear system;
Journal_Title :
Control Theory & Applications, IET
DOI :
10.1049/iet-cta.2011.0517