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Finite-time Pinning Synchronization and Parameters Identification of Markovian Switching Complex Delayed Network with Stochastic Perturbations

This paper focuses on finite-time synchronization and parameters identification in Markovian switching complex delayed network with stochastic perturbations. By pinning control strategy, finite-time stability theory and Itô’s lemma, some sufficient conditions for finite-time synchronization of Markovian switching complex delayed network are obtained. In the meantime, the unknown parameters of the network can be accurately identified through the adopted adaptive strategy. Moreover, the number of nodes and the dynamic behavior of each node are randomly determined, so the proposed method can be appliable to more general complex networks. Finally, a numerical simulation is performed to prove the practicability and effectiveness of the analysis results.