Global synchronization of two parametrically excited systems using active control
Global synchronization of two parametrically excited systems using active control
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DOI：
10.1016/j.chaos.2005.05.043
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发表时间：
2006-04
影响因子：
7.8
通讯作者：
Y. Lei;Wei Xu;Jianwei Shen;T. Fang
中科院分区：
文献类型：
--
作者：
Y. Lei;Wei Xu;Jianwei Shen;T. Fang
本文采用主动控制技术对一类双参数激励混沌系统进行同步。基于Lyapunov稳定性理论和Routh-Hurwitz准则，得到了全局渐近同步的一些一般充分条件。本文考虑了两个Duffing系统在谐波参数激励下的同步和两个参数激励混沌摆的同步的实例。数值仿真结果表明了该方法的有效性和可行性。
In this paper, we apply an active control technique to synchronize a kind of two parametrically excited chaotic systems. Based on Lyapunov stability theory and Routh–Hurwitz criteria, some generic sufficient conditions for global asymptotic synchronization are obtained. Illustrative examples on synchronization of two Duffing systems subject to a harmonic parametric excitation and that of two parametrically excited chaotic pendulums are considered here. Numerical simulations show the validity and feasibility of the proposed method.