Cluster synchronization of impulsive complex networks with stochastic perturbations and time-varying delays. (English) Zbl 1397.93101

Summary: This paper investigates the cluster synchronization of impulsive complex networks with stochastic perturbation and time-varying delays. Besides, the nodes in the complex networks are nonidentical. By utilizing the Lyapunov stability theory, stochastic analysis theory, and linear matrix inequalities (LMI), sufficient conditions are derived to guarantee the cluster synchronization. The numerical simulation is provided to show the effectiveness of the theoretical results.


93C23 Control/observation systems governed by functional-differential equations
34F05 Ordinary differential equations and systems with randomness
34K45 Functional-differential equations with impulses
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
34K60 Qualitative investigation and simulation of models involving functional-differential equations
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