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Cluster synchronization stability for stochastic complex dynamical networks with probabilistic interval time-varying delays. (English) Zbl 1214.90021
The author is concerned with the synchronization problem for a class of complex stochastic networks with probabilistic interval time-varying delays. In particular, it is assumed that nodes in the same group achieve the same synchronization state, but synchronization states for different groups are different. Using Lyapunov-Krasovski functionals and methods of stochastic analysis, delay-dependent criteria for asymptotic cluster synchronization stability are obtained in the form of linear matrix inequalities. A numerical example is provided.
MSC:
90B15Network models, stochastic (optimization)
34D06Synchronization
34K20Stability theory of functional-differential equations
34K45Functional-differential equations with impulses
Software:
Matlab