Exponential Synchronization of Impulsive Complex Networks with Nonidentical Coupling Delays and Switching Topology

Piao Yanxin, Zhang Ni
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Abstract

The exponential synchronization problem is considered for impulsive complex networks with nonidentical coupling delays and switching topologies. The complex networks under investigation include two cases: one is that all sub networks are self-synchronizing, the other is that there are some sub networks are nonsychronizing. By means of the average dwell time technology of the switched systems, the delay-dependent sufficient conditions and switching signals are proposed for exponential synchronization of entire networks with respect to above two cases. Finally, two simulations are given to show the effectiveness of the developed results.
具有非相同耦合延迟和切换拓扑的脉冲复杂网络的指数同步
研究了具有非相同耦合延迟和交换拓扑的脉冲复杂网络的指数同步问题。所研究的复杂网络包括两种情况:一种是所有的子网络都是自同步的,另一种是有一些子网络是非同步的。针对上述两种情况,利用交换系统的平均停留时间技术,给出了整个网络指数同步的时滞相关充分条件和交换信号。最后给出了两个仿真结果,验证了所得结果的有效性。
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