文章基本信息

标题：Robustness analysis of global exponential stability of nonlinear stochastic systems with respect to neutral terms and time-varying delays
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作者：Zhiying Xu ; Wei Liu ; Yan Li 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2015
卷号：2015
期号：1
页码：105
DOI：10.1186/s13662-015-0364-3
语种：English
出版社：Hindawi Publishing Corporation
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.
关键词：robustness analysis ; nonlinear stochastic systems ; mean square exponential stability ; transcendental equation