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

作　　者：Xiaoyan Liu Xiuliang Qiu Xiaoyan Liu;Xiuliang Qiu(Chengyi University College, Jimei University, Xiamen, China)

机构地区：[1]Chengyi University College, Jimei University, Xiamen, China

出　　处：《Applied Mathematics》2021年第9期803-817,共15页应用数学（英文）

摘　　要：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.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.

关 键 词：Stochastic Dynamical System Time-Varying Delay Distributed Synchronization Randomly Occurring Control 

分 类 号：O17[理学—数学]