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循环切换网络的固定时同步
Fix-Time Synchronization of Cyclic Switched Networks

DOI: 10.12677/DSC.2021.101008, PP. 70-76

Keywords: 固定时同步，反馈控制，循环切换复杂网络
Fix-Time Synchronization, Feedback Control, Cyclic Switched Complex Networks

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Abstract:

由于其在现实生活中的广泛应用，复杂网络的同步已经成为了一个热门的话题。通过加反馈控制器，本文研究了一类循环切换复杂网络的固定时同步问题。基于李雅普诺夫稳定性理论以及反馈控制技巧，我们详细证明了在所给的充分条件下，所得固定时同步结论的正确性。此外，我们给出停时的表达式。最后，通过一个数值实例，我们证明了理论结果的正确性。本文的结果可以适用于具体的循环切换复杂网络。
Due to its wide application in real life, the synchronization of complex networks has become a hot topic. In this article, we investigate the fix-time synchronization for cyclic switched complex networks by feedback controllers. Based on the Lyapunov stability theory and the feedback control technique, we prove in detail the correctness of the conclusion on fix-time synchronization under the given sufficient conditions. In addition, the expression of settling time is estimated. Last but not the least, a numerical example is presented to illustrate the validity of theoretical results. The conclusions of this paper are applicable to the concrete cyclic switched complex networks.

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