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  • 标题:Stochastically exponential synchronization for Markov jump neural networks with time-varying delays via event-triggered control scheme
  • 本地全文:下载
  • 作者:Xiaoman Liu ; Haiyang Zhang ; Jun Yang
  • 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/s13662-020-03109-7
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This paper focuses on the stochastically exponential synchronization problem for one class of neural networks with time-varying delays (TDs) and Markov jump parameters (MJPs). To derive a tighter bound of reciprocally convex quadratic terms, we provide an improved reciprocally convex combination inequality (RCCI), which includes some existing ones as its particular cases. We construct an eligible stochastic Lyapunov–Krasovskii functional to capture more information about TDs, triggering signals, and MJPs. Based on a well-designed event-triggered control scheme, we derive several novel stability criteria for the underlying systems by employing the new RCCI and other analytical techniques. Finally, we present two numerical examples to show the validity of our methods.
  • 关键词:Stochastically exponential synchronization ; Markov jump neural networks ; Time-varying delays ; Event-triggered control scheme ; Reciprocally convex combination inequality
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