State synchronization of controlled nodes via the dynamics of links for complex dynamical networks
State synchronization of controlled nodes via the dynamics of links for complex dynamical networks
复制标题
通过复杂动态网络的链路动态实现受控节点的状态同步
DOI：
10.1016/j.neucom.2019.12.055
复制
发表时间：
2020-04-07
期刊：
影响因子：
6
通讯作者：
Zhang, Lili
中科院分区：
文献类型：
--
作者：
Wang, Yinhe;Wang, Wenli;Zhang, Lili
一个具有图模型的连续时变复杂动态网络可以看作是由两个相互连接的子系统组成，其中一个是节点子系统（NS），另一个是链路子系统（LS）。这两个子系统可以用状态微分方程进行数学建模，其中链路的权值被视为LS的状态变量。本文主要研究了LS的动力学问题，将LS的动力学模型化为Riccati矩阵微分方程，并结合NS的综合状态反馈控制器和LS的耦合关系，研究了NS的状态同步问题。本文首先利用矩阵代数方法给出了状态同步的等价条件。然后，基于李雅普诺夫稳定性理论，设计了NS的状态反馈控制器，并构造了LS中的耦合关系，保证了NS的渐近状态同步。最后，通过数值仿真验证了本文理论结果的有效性. (C)2019年爱思唯尔出版
A continuous time-varying complex dynamical network with the graph model may be regarded to be composed of two interconnected subsystems, one of which is the nodes subsystem (NS) and the other is the links subsystem (LS). The two subsystems can be modeled mathematically by the state differential equations, in which the weighted values of links are regarded as the state variables of LS. This paper mainly focuses on the dynamics of LS, which is modeled as the Riccati matrix differential equation, and investigates the state synchronization of NS associated with the synthesized state feedback controller for NS and the constructed coupling relation in LS. Firstly, this paper proposes the equivalent condition of state synchronization by using the matrix algebra method. Then, the state feedback controller for NS is proposed and the coupling relation in LS is also constructed based on the Lyapunov stability theory, by which the asymptotic state synchronization of NS is sure to be realized. Finally, numerical simulations are given to verify the effectiveness of the theoretical results in this paper. (C) 2019 Published by Elsevier B.V.