一类变时滞的不同复杂网络的线性广义同步  

Generalized linear synchronization of different complex networks with time-varying delays

作　　者：巩长忠[1] 李飞燕[1] 

机构地区：[1]中国民航大学理学院,天津300300

出　　处：《中国民航大学学报》2015年第6期55-60,共6页Journal of Civil Aviation University of China

基　　金：中央高校基本科研业务费专项(ZXH2012K002;3122014K008);天津市自然科学基金青年项目(13JCQNJC04400);中国民航大学科研启动基金项目(2012QD10X)

摘　　要：讨论了一类变时滞的不同复杂网络间的线性广义同步问题。基于Lyapunov稳定性理论和自适应控制方法,得到了网络线性广义同步的充分条件。此外,每个网络中的节点和耦合项均含有时滞函数,且网络的维数不同、拓扑结构不恒等,每个网络节点的动力学也可以不同。最后数值模拟结果证实了该方法的合理性,并验证了同步速度受自适应律强度的影响。Generalized linear synchronization of different complex networks with time-varying delays is introduced. Based on Lyapunov stability theory, some generalized linear synchronization sufficient conditions are derived by adaptive control method. Furthermore, each network with time-varying coupling delays and time-varying delays in dynamical nodes may have different dimensions and its topological structure is also nonidentical. Nodes in either network may have identical or different dynamics. A numerical simulation example is also provided to testify the rationality of the current method, demonstrating that the synchronization rate is affected by adaptive Law strength.

关 键 词：不同复杂网络 线性广义同步 变时滞 自适应控制器 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]