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  • 标题:Robustness analysis of global exponential stability of nonlinear stochastic systems with respect to neutral terms and time-varying delays
  • 本地全文:下载
  • 作者:Zhiying Xu ; Wei Liu ; Yan Li
  • 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
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