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首页> 外文期刊>Optimal Control Applications and Methods >Global cluster synchronization in finite time for complex dynamical networks with hybrid couplings via aperiodically intermittent control
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Global cluster synchronization in finite time for complex dynamical networks with hybrid couplings via aperiodically intermittent control

机译：通过非周期性间歇控制具有混合耦合的复杂动态网络的有限时间的全局群集同步

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摘要

In this article, we investigate the cluster synchronization in finite time for nonlinear complex dynamical networks (CDNs) with hybrid couplings via aperiodically intermittent control. First, a new lemma with respect to the convergence in finite time is developed for the nonnegative continuous functions. Second, the classification controller, which is dependent of the coupling of the dynamic nodes among different clusters, is designed to realize the cluster synchronization goal. Third, by means of the Lyapunov functional approach, the inequality analysis technique, and the proposed lemmas, the global cluster synchronization conditions in finite time are addressed in terms of linear matrix inequalities (LMIs) for CDNs via discontinuous feedback control scheme with integral terms. Moreover, the global cluster synchronization conditions in finite time is also achieved in the form of LMIs for CDNs with hybrid couplings via aperiodically intermittent control. In addition, the settling time, which is closely related to the topological structure of networks and the maximum ratio of the rest width to the aperiodic time span, is estimated accurately. Finally, the effectiveness of theoretical results is verified by two simulation examples.
机译：在本文中，我们通过非周期性间歇控制，研究了非线性复合动态网络（CDN）的非线性复合动态网络（CDN）的有限时间的群集同步。首先，为非负连续功能开发了关于有限时间的收敛的新引理。其次，依赖于不同集群之间的动态节点耦合的分类控制器，旨在实现群集同步目标。第三，通过Lyapunov功能方法，不等式分析技术和所提出的LEMMAS，在有限时间内通过不连续的反馈控制方案的线性矩阵不等式（LMI），通过不连续的反馈控制方案来解决。此外，有限时间的全局簇同步条件也以通过非周期性间歇控制的具有混合耦合的CDN的LMI的形式实现。另外，精确地估计与网络拓扑结构和静止宽度与非周期性时间跨度的最大比率密切相关的沉降时间。最后，通过两个模拟例子验证了理论结果的有效性。

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