Synchronization of hybrid-coupled heterogeneous networks: Pinning control and impulsive control schemes

被引:66
作者
Hu, Jianqiang
Liang, Jinling [1 ]
Cao, Jinde
机构
[1] Southeast Univ, Res Ctr Complex Syst & Network Sci, Nanjing 210096, Jiangsu, Peoples R China
来源
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2014年 / 351卷 / 05期
基金
中国国家自然科学基金;
关键词
DYNAMICAL NETWORKS; MULTIAGENT SYSTEMS; NEURAL-NETWORKS; CONSENSUS; STABILITY;
D O I
10.1016/j.jfranklin.2013.12.017
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, the synchronization control problem is considered for the delayed hybrid-coupled heterogeneous networks, i.e., complex networks with nonidentical dynamical nodes. Some effective control schemes are designed under which the whole network is globally asymptotically synchronized to an arbitrary objective trajectory. By imposing the open-loop control on the whole network together with the feedback control only on a small fraction of the nodes, an easy-to-verify sufficient condition is derived to guarantee the asymptotic synchronization of the complex network under study. Furthermore, to decrease the feedback control gains, the idea of adaptive control scheme is combined together, and the verified conditions are further weakened. Finally, by introducing the impulses to the open-loop network and using the improved Halanay inequality, other novel synchronization criteria are developed for the complex network. Comparisons of the obtained theoretical results as well as the detail pinning schemes are also given. Numerical examples of the undirected scale-free network and the directed small-world network are illustrated to demonstrate the applicability and efficiency of the proposed theoretical results. (C) 2014 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:2600 / 2622
页数:23
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