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Synchronization of singular switched complex networks via impulsive control with all nonsynchronized subnetworks
Authors:Tao Zhan  Shuping Ma  Xinzhi Liu
Abstract:This paper studies impulsive synchronization of a class of nonlinear singular switched complex networks (SSCNs). With the aid of discretized Lyapunov function method and the matrix generalized inverse technique, an impulsive controller is designed, which works on both the slow and the fast state variables to synchronize SSCNs at impulsive instant. Based on the designed controller, it is shown that the synchronization of SSCNs is achieved in two cases: all subnetworks that are not self‐synchronized and all subnetworks that are self‐synchronized. Moreover, an example is given to validate the effectiveness of the proposed controller.
Keywords:impulsive control  nonsynchronized subnetworks  singular switched complex networks  synchronization
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