具有时变耦合矩阵的复杂网络的外部同步  

Outer Synchronization of Complex Networks with Time-varying Coupling Matrixes

作　　者：田文秀[1] 谭满春[1] 

机构地区：[1]暨南大学信息科学技术学院,广州510632

出　　处：《控制工程》2015年第4期725-730,共6页Control Engineering of China

基　　金：中央高校基本科研业务费专项资金资助(No.21612443);广东省自然科学基金项目(No.S201201001036)

摘　　要：针对网络结构和网络节点间的耦合强度会随时间变化的问题,提出一种新的复杂动态网络模型—具有时变耦合矩阵的复杂动态网络,其中,时变耦合矩阵包括时变外部耦合矩阵和时变内部耦合矩阵。针对该模型,通过构建李雅普诺夫函数,运用Barbalat’s引理,设计适当的控制器,使此类网络在该控制器下总可以动态地实现外部同步。特别地,该控制策略对节点间耦合强度和网络拓扑结构具有较强鲁棒性,达到同步的2个复杂动力学网络不一定有相同拓扑结构。数值仿真验证了所提方法的有效性。In view of the network topology and the coupling strength of nodes varying over time, a new complex dynamical network model with time-varying coupling matrixes is proposed. The time-varying coupling matrix in the model includes the time-varying outer coupling matrix and the time-varying inner coupling matrix. Based on the Lyapunov stability theory and the Barbalat＇s lemma, a control strategy is proposed to ensure the outer synchronization for this model. In particular, the control strategy is robust to the coupling strength of nodes and the network topology, and nodes in either network may have identical or different dynamics. Numerical simulation results further verify the effectiveness of the proposed method.

关 键 词：复杂网络 外部同步 时变耦合矩阵 

分 类 号：O231.5[理学—运筹学与控制论]