Robustness analysis of global exponential stability of nonlinear stochastic systems with respect to neutral terms and time-varying delays

Advances in Difference Equations

Junhao Hu¹  Zhiying Xu¹  Yan Li²  Wei Liu³ 

[1] College of Mathematics and Statistics, South Central University for Nationalities, Wuhan, P.R. China;College of Science, Huazhong Agriculture University, Wuhan, P.R. China;Department of Mathematical Sciences, Loughborough University, Loughborough, UK

关键词: robustness analysis;    nonlinear stochastic systems;    mean square exponential stability;    transcendental equation;   

DOI  :  10.1186/s13662-015-0364-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider a class of nonlinear stochastic systems with respect to neutral terms and time-varying delays. Given a globally exponentially stable nonlinear stochastic system, the robustness of the global exponential stability of the system subject to a time delay and a neutral term can be derived by a subtle inequality and a transcendental equation. The upper bound of the allowable time delays and the neutral terms contraction coefficient is easy to verify and implement. Finally, an example with a numerical simulation is given to illustrate the presented criteria.

【 授权许可】

CC BY