非线性变时滞耦合复杂网络的牵制控制  

Pinning control of complex networks with nonlinearly time-varying delay coupling

作　　者：王树国[1,2,3] 姚洪兴[1,3] 

机构地区：[1]江苏大学财经学院,江苏镇江212013 [2]河海大学常州校区数理部,江苏常州213022 [3]江苏大学理学院,江苏镇江212013

出　　处：《江苏大学学报（自然科学版）》2012年第5期611-615,共5页Journal of Jiangsu University：Natural Science Edition

基　　金：国家自然科学基金资助项目(70871056);江苏省"六大人才高峰"项目(2010-56)

摘　　要：研究具有非线性变时滞耦合复杂网络模型的同步问题,通过牵制控制的方法对变时滞耦合复杂动力网络进行同步控制.分别对外耦合矩阵可约和不可约两种情况设计了简单的控制器,通过控制网络的少部分节点使网络同步于一个孤立的节点.根据Lyapunov稳定性理论和线性矩阵不等式理论得到了非线性变时滞耦合的复杂网络的牵制同步的充分条件.数值仿真采用了新的混沌系统模型,仿真结果进一步证明了结论的正确性和有效性.The synchronization of complex network with nonlinearly time-varying coupling was investiga- ted, and pinning control was adopted to synchronize complex dynamical network with nonlinearly time-va-rying coupling. The simple controllers were designed for the coupling configuration reducible matrix and irreducible matrix. It was proved that the dynamical network could be synchronous with one isolated node by adding the controllers only into a small subset of the nodes. Based on Lyapunov stability theory and a linear matrix inequality （LMI）, some sufficient synchronization conditions were derived. Numerical si-mulation examples were provided to verify the correctness and effectiveness of the proposed scheme by a new chaotic system.

关 键 词：复杂网络 混沌 牵制控制 变时滞耦合 同步 

分 类 号：O415[理学—理论物理]