Pinning Synchronization of Complex Dynamical Networks on Time Scales
Pinning Synchronization of Complex Dynamical Networks on Time Scales
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DOI：
10.1007/s12555-020-0041-5
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发表时间：
2020-10
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影响因子：
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通讯作者：
Fang-Di Kong;Jian-Ping Sun
中科院分区：
文献类型：
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作者：
Fang-Di Kong;Jian-Ping Sun
本文研究了时间尺度上复杂动力网络的同步问题，其中包括连续时间和离散时间复杂动力网络的同步问题。设计了一种钉扎控制策略来实现复杂动态网络在时间尺度上的同步。基于时标微积分理论和李雅普诺夫方法，建立了时标上复杂动力网络的钉扎同步判据。最后，通过数值算例验证了理论结果的有效性.
The purpose of this paper is to investigate the synchronization problem of complex dynamical networks on time scales, which includes the synchronization problem of continuous-time and discrete-time complex dynamical networks as special cases. A pinning control strategy is designed to achieve synchronization of complex dynamical networks on time scales. Based on the theory of calculus on time scales and the Lyapunov method, pinning synchronization criteria for complex dynamical networks on time scales are established. Moreover, a numerical example is given to verify the effectiveness of theoretical results.