文章基本信息

标题：Synchronization of bidirectional N -coupled fractional-order chaotic systems with ring connection based on antisymmetric structure
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作者：Cuimei Jiang ; Akbar Zada ; M. Tamer Şenel 等
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