具有时延和非时延动态节点的复杂网络同步  

Synchronization of a delayed and non-delayed complex Network with dynamical nodes

作　　者：石海云[1] 巩长忠[1] 

机构地区：[1]中国民航大学理学院,天津300300

出　　处：《辽宁工程技术大学学报（自然科学版）》2014年第8期1149-1152,共4页Journal of Liaoning Technical University (Natural Science)

基　　金：中央高校理学专项基金资助项目(ZXH2012B003;ZXH2012K002)

摘　　要：为解决具有时延和非时延的动态节点的复杂网络基于自适应反馈的同步问题,采用理论分析和仿真方法,基于Lyapunov稳定性理论和自适应反馈控制理论,设计了线性控制器.研究结果:得到具有时延和非时延的动态节点的复杂网络达到全局指数渐近同步的充分条件,数值仿真验证了方法的有效性.对具有时延和非时延动态节点的复杂网络基于自适应反馈的全局指数渐近同步提供了充足的理论依据,有助于寻求全局指数渐近同步的有效控制途径.In order to overcome the problems of synchronization of a general delayed and non-delayed complex network with dynamical nodes, the paper utilized theoretical analysis and numerical simulations. Based on the Lyapunov stability and the adaptive feedback control theories, the linear controller was designed. The results of the study show that some corresponding sufficient conditions for globally exponentially asymptotic synchronization are obtained and numerical simulations are provided to verify the effectiveness and the correctness of the synchronization criteria. The study results provide an adequate theoretical basis and sufficient control for the synchronization, which is helpful to seek the effective control for globally exponentially asymptotic synchronization.

关 键 词：同步 复杂网络 时延 动态节点 自适应反馈控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]