Abstract
In this paper, finite-time synchronization of stochastic multi-links dynamical networks with Markovian switching topologies (SMDNM) via intermittent control is discussed. Different from previous literature, topological structure of multi-links complex networks is Markovian switching and each switching subnetwork is not required to contain a directed spanning tree or to be strongly connected. Meanwhile, a novel quantized aperiodically intermittent control is designed and the coupling function is nonlinear. Based on a new differential inequality and Kirchhoff’s Matrix Tree Theorem, a synchronization criterion is derived to ensure finite-time synchronization of SMDNM within a finite time which is closely related to the topology of the network. Moreover, we apply theoretical results to oscillators systems and a synchronization criterion is presented. Finally, a numerical example is provided to demonstrate the effectiveness and feasibility of the proposed methodology.
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