Author(s)

Xiaoyan Liu

Chengyi University College, Jimei University, Xiamen, China.

In this paper, the distributed synchronization of stochastic coupled neural networks with time-varying delay is concerned via randomly occurring control. We use two Bernoulli stochastic variables to describe the occurrence of distributed adaptive control and updating law according to certain probabilities. The distributed adaptive control and updating law for each vertex in the network depend on the state information on each vertex’s neighborhood. Based on Lyapunov stability theory, Itô differential equations, etc., by constructing the appropriate Lyapunov functional, we study and obtain sufficient conditions for the distributed synchronization of such networks in mean square.

Complex Dynamical Networks, Time-Varying Delay Coupling, Randomly Occurring Control, Synchronization

Liu, X. (2020) Distributed Synchronization of Coupled Time-Delay Neural Networks Based on Randomly Occurring Control. Applied Mathematics, 11, 698-711. doi: 10.4236/am.2020.117047.