基于牵制控制的变时滞复杂网络自适应同步

在牵制控制的基础上,文章探讨了节点与耦合均含变时滞复杂网络的自适应同步问题.首先,利用非线性耦合常微分方程描述了一般复杂网络的动态模型,同时给出了必要的定义、假设和引理.然后,基于李雅普诺夫稳定性理论和自适应控制原理,设计了简单适当的自适应控制器,让其通过对部分节点进行牵制控制来实现整个网络的同步,并且给出网络渐近同步的充分条件.最后,通过数值实验结果很好地验证了理论的可行性与有效性.

The pinning adaptive synchronization of a complex network with time-varying delay

Based on the containment control theory,the pinning adaptive synchronization of a complex network with node- coupled time- varying is deliberated in this thesis. First,the general dynamic models of complex networks is described by nonlinear coupled ordinary differential equations. Besides,the necessary definitions,assumptions and lemma are given. And then,on the basis of Lyapunov stability and Pinning adaptive theory,a simple and appropriate adaptive controller is designed,which allowed by some nodes contain controls to achieve all nodes of complex networks get to their harmonious states,and sufficient conditions is also given asymptotic network synchronization. At last,numerical simulations are put forwarded to check the significance and effectiveness of the theory.