Cluster synchronization stability for stochastic complex dynamical networks with probabilistic interval time-varying delays. (English) Zbl 1214.90021

Li, Hongjie

J. Phys. A, Math. Theor. 44, No. 10, Article ID 105101, 24 p. (2011).

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.

Reviewer: Yuri V. Rogovchenko (Umeå)

MSC:

90B15	Stochastic network models in operations research
34D06	Synchronization of solutions to ordinary differential equations
34K20	Stability theory of functional-differential equations
34K45	Functional-differential equations with impulses

Keywords:

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

Software:

Matlab