Title :
Delay-dependent exponential stability for neutral stochastic system with multiple time-varying delays
Author :
Huabin Chen ; Peng Hu ; Jinjing Wang
Author_Institution :
Sch. of Sci., Nanchang Univ., Nanchang, China
Abstract :
In this study, by constructing an appropriate Lyapunov-Krasovskii functional, one delay-dependent exponential stability criterion of neutral stochastic system with multiple time-varying delays is obtained in terms of linear matrix inequalities. The significant contributions of this study are that the fewer matrix variables in obtained results are involved and some less computational burdens are imposed. In particular, the obtained results can greatly reduce the conservatism when the multiple time-invariant delays case is considered. Finally, three illustrative numerical examples are given to show the effectiveness of our proposed results.
Keywords :
Lyapunov methods; asymptotic stability; delays; functional equations; linear matrix inequalities; stability criteria; stochastic systems; Lyapunov-Krasovskii functional; conservatism reduction; delay-dependent exponential stability criterion; linear matrix inequalities; matrix variables; multiple time-varying delays; neutral stochastic system;
Journal_Title :
Control Theory & Applications, IET
DOI :
10.1049/iet-cta.2014.0169