TITLE:
Distributed Synchronization of Coupled Time-Delay Neural Networks Based on Randomly Occurring Control
AUTHORS:
Xiaoyan Liu
KEYWORDS:
Complex Dynamical Networks, Time-Varying Delay Coupling, Randomly Occurring Control, Synchronization
JOURNAL NAME:
Applied Mathematics,
Vol.11 No.7,
July
28,
2020
ABSTRACT: 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.