Title :
Brief paper: new results on stability analysis for neutral stochastic linear system
Author_Institution :
Dept. of Math., Nanchang Univ., Nanchang, China
Abstract :
In this study, the problem for the robustly exponential stability in mean square moment of uncertain neutral stochastic linear system with mixed time-varying delays is considered. By constructing an augmented Lyapunov-Krasovskii functional and utilising a convex polyhedron method, some new delay-dependent exponential stability criteria for such system are established in forms of linear matrix inequalities, which have less conservatism. Finally, three illustrative numerical examples are given to show the effectiveness of the obtained results.
Keywords :
Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; linear systems; neurocontrollers; robust control; stability criteria; stochastic systems; uncertain systems; augmented Lyapunov-Krasovskii functional; convex polyhedron method; delay-dependent exponential stability criteria; linear matrix inequalities; mean square moment; mixed time-varying delays; robustly exponential stability; stability analysis; uncertain neutral stochastic linear system;
Journal_Title :
Control Theory & Applications, IET
DOI :
10.1049/iet-cta.2013.0008