EXPONENTIALLY ADAPTIVE SYNCHRONIZATION OF AN UNCERTAIN DELAYED DYNAMICAL NETWORK

• Published in: Journal of systems science and complexity Vol. 24; no. 2; pp. 207 - 217
• Main Authors: Zhang, Qunjiao, Lu, Jun’an
• Format: Journal Article
• Language: English
• Published: Beijing Academy of Mathematics and Systems Science, Chinese Academy of Sciences 01.04.2011
• Subjects: Complex Systems; Control; Mathematics; Mathematics and Statistics; Mathematics of Computing; Operations Research/Decision Theory; Statistics; Systems Theory; 不确定参数; 动力学; 网络同步; 网络拓扑结构; 网络节点; 自适应反馈; 自适应同步; uncertain parameter; complex networks; unknown topology; delayed nodes; Adaptive feedback synchronization
• ISSN: 1009-6124; 1559-7067
• DOI: 10.1007/s11424-011-8304-0

Over the past decades, complex networks have been prosperous greatly in various fields of sciences and engineering. Much attention has been given to investigate the synchronization of complex networks in recent years. However, few work has done for the networks with uncertain parameters and unknown topology. In this paper, to further reveal the dynamical mechanism in complex networks with time delays, an uncertain general complex dynamical network with delayed nodes is studied. By constructing a drive network and a suitable slave network, several novel criteria for the networks consisting of the identical nodes and different nodes have been obtained based on the adaptive feedback method. Particularly, the hypotheses and the proposed adaptive laws for network synchronization are simple and can be readily applied in practical applications. Finally, numerical simulations are provided to illustrate the effectiveness of the proposed synchronization criteria.