Synchronization of weighted general complex dynamical networks with coupling delays
A weighted general complex dynamical networks with coupling delay is proposed, which is undirected and connected. By some transformation, the synchronization of the complex networks is transferred equally into the asymptotical stability problem of a group of uncorrelated delay functional differential equations. Control of such networks is investigated by applying local feedback injections to a fraction of network nodes for continuous time. Furthermore, the less conservative sufficient conditions for delay-dependent asymptotical synchronization stability criteria are derived in the form of linear matrix inequalities based on the reformulation of the system and the technique of a discretization scheme of the delay. It is also shown that the whole networks can be stabilized by controlling only one node. Numerical examples are given to illustrate the effectiveness of the proposed approach.
Pinning control Weighted complex dynamical networks Synchronization Coupling delay Linear matrix inequality(LMI)
Hongjie Li
College of Mathematics and Information Engineering, Jiaxing University, Jiaxing Zhejiang 314001
国际会议
The 22nd China Control and Decision Conference(2010年中国控制与决策会议)
徐州
英文
1518-1523
2010-05-26（万方平台首次上网日期，不代表论文的发表时间）