时延复杂网络的自适应周期间歇同步控制  

Synchronization of delayed complex dynamical networks via adaptive periodically intermittent control

作　　者：孙海义[1] 李宁[2] 张庆灵[2] 

机构地区：[1]沈阳建筑大学理学院,沈阳110168 [2]东北大学系统科学研究所,沈阳110819

出　　处：《控制与决策》2013年第5期797-800,共4页Control and Decision

基　　金：国家自然科学基金项目(60974004);住房和城乡建设部科技计划项目(2011-K5-31);辽宁省教育厅科学研究一般项目(L2012208)

摘　　要：研究同时具有耦合时延和节点时延复杂网络的自适应周期间歇同步控制问题.运用Lyapunov稳定性理论,自适应控制、牵制控制和间歇控制方法,给出保证该时延复杂网络全局指数同步、且保守性更小的判定准则,并给出相应的自适应和牵制自适应间歇同步控制器设计,该控制策略对节点间的耦合强度和网络的拓扑结构等具有较强的鲁棒性.最后以时延非线性动力系统为节点对复杂网络进行数值仿真,验证了结论的正确性和有效性.This paper investigates the synchronization problem for a class of general complex dynamical networks with couplings delays and delays in the dynamical nodes by adaptive periodically intermittent control. Based on a general model of delayed complex networks, by using the Lyapunov stability theory combined with the method of the adaptive control, pinning control and periodically intermittent control, some less conservative criteria are derived for the global exponential synchronization of the delayed complex networks. And several corresponding adaptive feedback synchronization controllers and pinning controllers are designed respectively. These controllers have strong robustness against the coupling strength and the topological structure of the network. Finally, using the delayed nonlinear system as the nodes of the networks, the numerical example of the delayed complex networks is given to demonstrate the effectiveness and correctness of the control strategy.

关 键 词：时延复杂网络 同步 自适应控制 牵制控制 间歇控制 

分 类 号：O231.5[理学—运筹学与控制论] TP273.2[理学—数学]