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  • 标题:Synchronization of bidirectional N -coupled fractional-order chaotic systems with ring connection based on antisymmetric structure
  • 本地全文:下载
  • 作者:Cuimei Jiang ; Akbar Zada ; M. Tamer Şenel
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2019
  • 卷号:2019
  • 期号:1
  • 页码:1-16
  • DOI:10.1186/s13662-019-2380-1
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This paper discusses the synchronization problem of N-coupled fractional-order chaotic systems with ring connection via bidirectional coupling. On the basis of the direct design method, we design the appropriate controllers to transform the fractional-order error dynamical system into a nonlinear system with antisymmetric structure. By choosing appropriate fractional-order Lyapunov functions and employing the fractional-order Lyapunov-based stability theory, several sufficient conditions are obtained to ensure the asymptotical stabilization of the fractional-order error system at the origin. The proposed method is universal, simple, and theoretically rigorous. Finally, some numerical examples are presented to illustrate the validity of theoretical results.
  • 关键词:Chaos synchronization;Fractional-order chaotic system;Fractional-order Lyapunov function;Ring connection;Antisymmetric structure
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