Article citationsMore>>

Zhu, Q. and Cao, J. (2011) Adaptive Synchronization under almost Every Initial Data for Stochastic Neural Networks with Time-Varying Delays and Distributed Delays. Communications in Nonlinear Science and Numerical Simulation, 16, 2139-2159.
https://doi.org/10.1016/j.cnsns.2010.08.037

has been cited by the following article:

• TITLE: Distributed Synchronization of Stochastic Complex Networks with Time-Varying Delays via Randomly Occurring Control

  AUTHORS: Xiaoyan Liu, Xiuliang Qiu

  KEYWORDS: Stochastic Dynamical System, Time-Varying Delay, Distributed Synchronization, Randomly Occurring Control

  JOURNAL NAME: Applied Mathematics, Vol.12 No.9, September 27, 2021

  ABSTRACT: This paper studies the distributed synchronization control problem of a class of stochastic dynamical systems with time-varying delays and random noise via randomly occurring control. The activation of the distributed adaptive controller and the update of the control gain designed in this paper all happen randomly. Based on the Lyapunov stability theory, LaSalle invariance principle, combined with the use of the properties of the matrix Kronecker product, stochastic differential equation theory and other related tools, by constructing the appropriate Lyapunov functional, the criterion for the distributed synchronization of this type of stochastic complex networks in mean square is obtained.