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Global synchronization stability for stochastic complex dynamical networks with probabilistic interval time-varying delays. (English) Zbl 1252.90079
Authors’ abstract: The synchronization problem for a class of complex dynamical networks with stochastic disturbances and probabilistic interval time-varying delays is investigated. Based on the stochastic analysis techniques and properties of the Kronecker product, some delay-dependent asymptotical synchronization stability criteria are derived in the form of linear matrix inequalities (LMIs). The solvability of derived conditions depends not only on the size of the delay, but also on the probability of Bernoulli stochastic variables. A numerical example is given to illustrate the feasibility and effectiveness of the proposed method.

MSC:
90C31 Sensitivity, stability, parametric optimization
90B15 Stochastic network models in operations research
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