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Zbl 1214.90021
Li, Hongjie
Cluster synchronization stability for stochastic complex dynamical networks with probabilistic interval time-varying delays. (English)
[J] J. Phys. A, Math. Theor. 44, No. 10, Article ID 105101, 24 p. (2011). ISSN 1751-8113; ISSN 1751-8121/e

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.
[Yuri V. Rogovchenko (Umeå)]

MSC 2000:: *90B15 Flows in networks with stochastic elements
34D06
34K20 Stability theory of functional-differential equations
34K45 Equations with impulses

Keywords: synchronization; stochastic networks; time-varying delays; Lyapunov-Krasovski functionals; linear matrix inequalities

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