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Stochastic quasi-synchronization of heterogeneous delayed impulsive dynamical networks via single impulsive control
Guang Ling1, Ming-Feng Ge2, Xinghua Liu3
1School of Science, Wuhan University of Technology, Wuhan 430070, China.
Abstract:
This paper investigates the quasi-synchronization problem of the stochastic heterogeneous complex dynamical networks with impulsive couplings and multiple time-varying delays. It is shown that this kind of dynamical networks can achieve exponential quasi-synchronization by exerting impulsive control added on only one chosen pinning node. By employing the Lyapunov stability theory, some sufficient criteria on quasi-synchronization for this dynamical network are established, revealing the relationship between the quasi-synchronization performance and the stochastic perturbations as well as the frequency and strength of impulsive coupling. Finally, some numerical examples are used to illustrate the effectiveness of the main results.
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