Adaptive finite-time outer synchronization between two complex dynamical networks with noise perturbation

In this paper, the finite-time outer synchronization between two complex dynamical networks with noise perturbation is considered. Combing the adaptive and finite-time control technologies, a novel adaptive finite-time controller is designed. Based on the finite-time stability theory of stochastic differential equations, sufficient conditions for the finite-time stochastic outer synchronization between two complex networks with identical as well as nonidentical configurations are obtained, respectively. Finally, numerical examples are examined to illustrate the effectiveness and feasibility of the theoretical results.

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