Sufficient Condition for Average Consensus of Directed Networked Multi-agent Systems with Time Delays  

作　　者：王朝霞 杜大军 费敏锐 

机构地区：[1]Shanghai Key Laboratory of Power Station Automation Technology,School of Mechatronics Engineering and Automation,Shanghai University [2]School of Electrical Engineering and Automation,Qilu University of Technology

出　　处：《Journal of Donghua University(English Edition)》2014年第2期119-123,共5页东华大学学报（英文版）

基　　金：National Natural Science Foundation of China(No.61074032);National High Technology Research and Development Program of China(No.2011AA040103-7);National Science Foundation of China(No.61104089);Science and Technology Commission of Shanghai Municipality,China(No.11JC1404000);Shanghai Rising-Star Program,China(No.13QA1401600);Shandong Province Special Topic of Information Strategy,China(No.2013EI214)

摘　　要：The average consensus problem in a directed network of multi-agent systems with communication time delays was investigated. The directed networks were balanced and weakly connected with fixed or switching topology digraph. Based on frequency domain analysis method, a sufficient condition of asymptotic stability of multi-agent systems with time delays was obtained,where the analytic formula between the maximum time delay and the directed network structure was provided. The maximum time delay can be derived directly and easily by the eigenvalue of Laplacian L. Numerical examples confirm the effectiveness of the proposed technique.The average consensus problem in a directed network of multi-agent systems with communication time delays was investigated. The directed networks were balanced and weakly connected with fixed or switching topology digraph. Based on frequency domain analysis method. a sufficient condition of asymptotic stability of multi-agent systems with time delays was obtained. where the analytic formula between the maximum time delay and the directed network structure was provided. The maximum time delay can be derived directly and easily by the eigenvalue of Laplacian L. Numerical examples confirm the effectiveness of the proposed technique.

关 键 词：average consensus MULTI-AGENT time delay frequency domain analysis 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]