Exponential synchronization and impulsive control of stochastic Lur'e delayed networks
In this paper,we study the global and exponential synchronization problem for a class of stochastic Lur'e dynamical networks with asymmetric coupling and time-varying delays.Using the concept of average impulsive interval,the Perron-Frobenius theorem,the comparison principle,the parameter variation method and the target-free strategy,the sufficient conditions to ensure the global and exponential synchronization of the networks are given.Based on the fact that impulsive signals can promote network clustering behavior and may hinder network synchronization,this paper dis-cusses the determination methods for network synchronization under the action of positive impulsive effects and negative impulsive effects,and gives the convergence speed under different impulsive effects.Numerical simulations are provided to demonstrate the main results and the effectiveness of the control strategy.
global and exponential synchronizationLur'e networkimpulsive controltarget-free strategycomparison principle
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