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  • 标题:Global uniform asymptotical stability for fractional-order gene regulatory networks with time-varying delays and structured uncertainties
  • 本地全文:下载
  • 作者:Zhaohua Wu ; Zhiming Wang ; Tiejun Zhou
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2021
  • 卷号:2021
  • 期号:1
  • 页码:1
  • DOI:10.1186/s13662-021-03243-w
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we investigate a class of fractional-order gene regulatory networks with time-varying delays and structured uncertainties (UDFGRNs). First, we deduce the existence and uniqueness of the equilibrium for the UDFGRNs by using the contraction mapping principle. Next, we derive a novel global uniform asymptotic stability criterion of the UDFGRNs by using a Lyapunov function and the Razumikhin technique, and the conditions relating to the criterion depend on the fractional order of the UDFGRNs. Finally, we provide two numerical simulation examples to demonstrate the correctness and usefulness of the novel stability conditions. One of the most interesting findings is that the structured uncertainties indeed have an impact on the stability of the system.
  • 关键词:34D23 ; 34A08 ; 05C82
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