Distributed Synchronization of Coupled Time-Delay Neural Networks Based on Randomly Occurring Control

Xiaoyan Liu
2020 Applied Mathematics  
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
more » ... 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.
doi:10.4236/am.2020.117047 fatcat:ltcfmlv4vvfpzer5oq6wr26ezq