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  • 标题:Stability of Genetic Regulatory Networks with Interval Time-Varying Delays via Convex Combination Method
  • 本地全文:下载
  • 作者:Feng, Wei ; Wu, Haixia
  • 期刊名称:Journal of Networks
  • 印刷版ISSN:1796-2056
  • 出版年度:2014
  • 卷号:9
  • 期号:10
  • 页码:2645-2654
  • DOI:10.4304/jnw.9.10.2645-2654
  • 语种:English
  • 出版社:Academy Publisher
  • 摘要:In this paper, asymptotical stability of genetic regulatory networks with interval time-varying delays is investigated. By choosing an appropriate new Lyapunov functional and employing convex combination method to estimate the derivative of the Lyapunov functional, some new delay-range-dependent and delay-derivative-dependent/independent stability criteria are presented in terms of linear matrix inequalities (LMIs). The important feature is that the obtained stability criteria are applicable to both fast and slow time-varying delays due to the ranges for the time-varying delays have been carefully considered. Three numerical examples are used to demonstrate the usefulness of the main results and less conservativeness of the presented results
  • 关键词:Genetic Regulatory Networks;Asymptotical Stability;Interval Time-Varying Delays;LMIs;Convex Combination Method
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