Delay-dependent exponential stability for neutral stochastic system with multiple time-varying delays

作者：Chen Huabin^*; Hu Peng; Wang Jinjing

来源：IET Control Theory and Applications, 2014, 8(17): 2092-2101.

DOI：10.1049/iet-cta.2014.0169

• asymptotic stability
• stability criteria
• stochastic systems
• delays
• Lyapunov methods
• functional equations
• linear matrix inequalities
• neutral stochastic system
• multiple time-varying delays
• Lyapunov-Krasovskii functional
• delay-dependent exponential stability criterion
• linear matrix inequalities
• matrix variables
• conservatism reduction

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.

• 出版日期2014-11-20
• 单位中国地质大学（北京）; 南昌大学