一类时滞线性耦合网络的自适应聚类同步

摘要

Aiming at the properties of realistic networks, a generalized linearly coupled network with time-varying de lay and distributed delay was proposed. By using the invariant principle of functional differential equations and linear matrix inequality (LMI), its adaptive control of cluster synchronization was addressed. Its coupling matrix can be nonsymmetric and weighted and the individual nodes can also be nonidentical in this network. By theoretical analy sis, a sufficient condition to ensure the cluster synchronization is obtained.%针对实际网络的特点,提出一类同时含时变时滞和分布式时滞的线性耦合网络,利用泛函微分方程中的不变原理以及线性矩阵不等式等方法,研究其上的自适应聚类同步控制问题.该网络上的节点不仅具有非一致性,而且耦合矩阵可以是非对称和加权的,通过理论分析,得到了实现聚类同步的充分条件.