The paper mainly focuses on the synchronization of multiple-weight Markovian switching complex networks under nonlinear coupling mode. Based on the finite-time stability theory, Itô’s lemma, and some inequality technologies, the synchronization criterion of network models in the nonlinear coupling mode is obtained; at the same time, unknown parameters of networks are also identified by an effective controller. In addition, several corollaries are given to illustrate the general applicability of the control rules in the paper. Finally, two typical numerical simulations are given to prove the rationality and feasibility of theoretical analysis of network models.

中文翻译：

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随机扰动的非线性耦合多权马尔可夫切换复杂网络的有限时间反同步和参数辨识

本文主要研究非线性耦合模式下多权马尔可夫交换复杂网络的同步。基于有限时间稳定性理论，Itô引理和一些不等式技术，获得了非线性耦合模式下网络模型的同步准则。同时，有效的控制器还可以识别未知的网络参数。另外，给出了一些推论来说明本文中控制规则的一般适用性。最后，通过两个典型的数值模拟，证明了网络模型理论分析的合理性和可行性。