In this paper, we study the synchronization problem for nonlinearly coupled complex dynamical networks on time scales. To achieve synchronization for nonlinearly coupled complex dynamical networks on time scales, a pinning control strategy is designed. Some pinning synchronization criteria are established for nonlinearly coupled complex dynamical networks on time scales, which guarantee the whole network can be pinned to some desired state. The model investigated in this paper generalizes the continuous-time and discrete-time nonlinearly coupled complex dynamical networks to a unique and general framework. Moreover, two numerical examples are given for illustration and verification of the obtained results.

中文翻译：

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时标上非线性耦合复杂动力网络的销钉同步

在本文中，我们研究了时标上非线性耦合的复杂动力网络的同步问题。为了在时间尺度上实现非线性耦合的复杂动力网络的同步，设计了一种销钉控制策略。在时间尺度上为非线性耦合的复杂动力网络建立了一些钉扎同步标准，以保证整个网络可以钉扎到所需的状态。本文研究的模型将连续时间和离散时间非线性耦合的复杂动力网络推广到一个独特的通用框架。此外，给出了两个数值示例来说明和验证所获得的结果。