The mean square exponential synchronization for stochastic complex networks perturbed with Poisson noise via a single controller

Le Zhang, Jianwen Feng, Yi Zhao · 2019

This paper focuses on the mean square exponential synchronization problem for a class of stochastic perturbed complex networks with Poisson noise. Different from the previous works, here the structure of the dynamical network is assumed to be directed and strongly connected. By designing a single state-feedback controller and using the stability theory of stochastic differential dynamics, some synchronization criteria are obtained to guarantee that the complex network with Poisson noise perturbation can be synchronized to an isolated system in mean square. Finally, numerical examples are provided to illustrate the effectiveness of the proposed approach.

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