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On synchronizability of nonlinear networked systems with the switching topology and with the unit inner-coupling matrix

机译：关于非线性网络系统与开关拓扑的同步性与单位内耦矩阵

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The synchronizability of the nonlinear networked systems with switching topology has been studied in this paper for the special case in which the inner coupling matrix is an unit matrix. The critical idea is to convert the synchronization problem to the consensus problem such that the switching topology can be dealt with effectively without any extra assumption on the relationship among the involved topologies. A novel local synchronous criterion consisting of the maximum Lyapunov exponent of nodal self-dynamics and the consensus convergent rate over the switching topology is given. To illustrate the effectiveness of the analytical results, two numerical examples on chaos synchronization are simulated respectively for the periodic switching case and randomly switching case.
机译：本文研究了具有切换拓扑的非线性网络系统的同步性，用于内耦矩阵是单位矩阵的特殊情况。关键思想是将同步问题转换为共识问题，使得切换拓扑可以有效地处理，而没有任何额外的关系拓扑之间的关系。给出了由节点自动态的最大Lyapunov指数组成的新型局部同步标准以及在切换拓扑上的共识收敛速率。为了说明分析结果的有效性，分别用于周期性切换壳体和随机切换壳体的混沌同步上的两个数值示例。

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