摘要
针对节点含时滞的输出耦合动态网络模型,基于Lyapunov稳定性理论和时滞脉冲微分方程理论,设计了复杂网络同步自适应脉冲控制器,给出网络同步的充分条件,保证动态网络渐近同步于任意指定的网络中单独节点的状态,进而实现该网络的同步.理论推导和数值结果均表明该同步方法的有效性及可行性.
This paper mainly studies a complex delayed network coupled with the outputs. Based on I.yapunov stability theory and the theory of impulsive delayed differential equation, it designs an adaptive-impulsive controller of the network realizing synchronization. Then it gives the sufficient conditions of synchronization on networks, guarantees that the dynamical network asymptotically synchronizes at the individual node state in arbitrary specified network, and realizes the synchroni- zation of networks. Furthermore, both the theoretical analysis and the results of numerical simula- tions illuminate the validity and feasibility of the synchronized method.
出处
《扬州大学学报(自然科学版)》
CAS
CSCD
北大核心
2012年第2期60-64,共5页
Journal of Yangzhou University:Natural Science Edition
基金
国家自然科学基金资助项目(61074129)
关键词
复杂时滞网络
自适应脉冲控制
同步
输出耦合
complex delayed networks
adaptive-impulsive control
synchronization
the output cou-pled