Synchronizing chaotic systems using control based on a special matrix structure and extending to fractional chaotic systems
Synchronizing chaotic systems using control based on a special matrix structure and extending to fractional chaotic systems
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DOI：
10.1016/j.cnsns.2009.03.017
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发表时间：
2010
影响因子：
3.9
通讯作者：
Jianbing Hu;Yan Han;Lingdong Zhao
中科院分区：
文献类型：
--
作者：
Jianbing Hu;Yan Han;Lingdong Zhao
本文提出了一种基于特殊矩阵结构的直接镇定控制器设计方法，用于混沌系统的同步，并将该方法推广到分数阶混沌系统。利用该方法实现了参数已知的Lorenz混沌系统的混沌同步，同时也实现了参数未知的Lorenz混沌系统的混沌同步。特别地，分数阶Lorenz混沌系统也可以用分数阶Chen混沌系统同步。数值仿真验证了该方法的有效性。
This work presents a direct approach to design stabilizing controller based on a special matrix structure to synchronize chaotic systems and extends the approach to synchronize fractional chaotic systems. With this method, chaos synchronization is implemented in Lorenz chaotic systems with known parameters and the same to Lorenz chaotic systems with unknown parameters. Especially, fractional Lorenz chaotic system with unknown parameters is synchronized by fractional Chen chaotic system too. Numerical simulations confirm the effectiveness of the method proposed.