节点含时滞的不确定复杂网络的自适应同步研究

Adaptive synchronization research on the uncertain complex networks with time-delay

研究了节点带有时滞,网络结构已知或者完全未知时的不确定动态网络模型的同步问题.基于李雅普诺夫稳定性理论,并按照参数的已知和未知情况分别设计了复杂网络同步控制器和复杂网络同步自适应控制器,给出了网络同步的充分条件,保证了动态网络渐进同步于任意指定的网络中的单独节点的状态.最后,数值结果表明了方法的有效性.

The synchronization problem of uncertain dynamical network model with time-delay nodes has been researched, where the network structure is known or totally unknown. Based on Lyapunov stability theorem, the synchronization controller of complex networks and the adaptive controller of synchronization of complex networks are designed respectively under the circumstances of known parameters and unknown parameters. The sufficient condition of network synchronization is given to guarantee that the dynamical network asymptotically synchronizes at the individual node state in arbitrary specified network. Finally, numerical simulations are provided to verify the effectiveness of the developed methods.