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Zbl 1201.37118
Yang, Xinsong; Cao, Jinde
Finite-time stochastic synchronization of complex networks. (English)
[J] Appl. Math. Modelling 34, No. 11, 3631-3641 (2010). ISSN 0307-904X

Summary: We study the finite-time stochastic synchronization problem for complex networks with stochastic noise perturbations. By using finite-time stability theorem, inequality techniques, the properties of Wiener process and adding suitable controllers, sufficient conditions are obtained to ensure finite-time stochastic synchronization for the complex networks. The effects of control parameters on synchronization speed and time are also analyzed. The results of this paper are applicable to both directed and undirected weighted networks while do not need to know any information about eigenvalues of coupling matrix. Since finite-time synchronization means the optimality in convergence time and has better robustness and disturbance rejection properties, the results of this paper are important. A numerical example shows the effectiveness of our new results.

MSC 2000:: *37N35 Dynamical systems in control
60G35 Appl. of stochastic processes
90B15 Flows in networks with stochastic elements

Keywords: finite-time synchronization; stochastic perturbation; complex network; asymmetric coupling

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