Synchronization of complex dynamical networks with discontinuous coupling signals

Synchronization of complex dynamical networks with discontinuous coupling signals
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DOI:
10.1007/s11071-014-1746-x
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发表时间:
2014-10
期刊:
影响因子:
5.6
通讯作者:
Ju H. Park;Tae H. Lee
Ju H. Park;Tae H. Lee
中科院分区:
工程技术2区
文献类型:
--
作者:
Ju H. Park;Tae H. Lee

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本文研究了具有不连续耦合信号的复杂动态网络(cdn)的同步问题,这些信号在采样周期内保持恒定,只允许在采样瞬间改变。基于时变Lyapunov泛函方法、凸组合技术和多重积分方法,推导了具有不连续耦合信号的CDNs同步的采样间隔相关判据。通过数值算例验证了该方法的有效性以及结果的保守性与三重积分法的关系。
This paper concerns with the problem of synchronization of complex dynamical networks (CDNs) with discontinuous coupling signals which are kept constant during the sampling period and are allowed to change only at the sampling instant. Based on the time-dependent Lyapunov functional approach, convex combination technique, and multiple-integral method, a sampling interval- dependent criterion is derived for synchronization of CDNs with discontinuous coupling signals. Numerical examples are given to demonstrate the effectiveness of proposed method and the relation between conservatism of results and triple integral method.