Passivity-based decentralized stabilization of multi-agent systems with uncertainty and mixed delays

作     者：Lianzeng MA Xuebo CHEN Huaguang ZHANG 

作者机构：School of Information Science and EngineeringNortheastern University School of Electronics and Information EngineeringUniversity of Science and Technology Liaoning 

出 版 物：《控制理论与应用（英文版）》 (控制理论与应用)

年 卷 期：2013年第11卷第4期

页      面：579-585页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 081104[工学-模式识别与智能系统] 08[工学] 0835[工学-软件工程] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China(Nos.60874017,50977008,60821063,61034005) the National High Technology Research and Development Program of China(No.2009AA04Z127) the National Basic Research Program of China(No.2009CB320601) 

主　　题：Multi-agent systems Passivity stability Decentralized stabilization Time-delay systems 

摘      要：In this paper, we investigate a decentralized stabilization problem of uncertain multi-agent systems with mixed delays including discrete and distributed time-varying delays based on passivity stability. We design a decentralized state-feedback stabilization scheme such that the family of closed-loop feedback subsystems enjoys the delay-dependent passivity stability for each subsystem. Then, by employing a new Lyapunov-Krasovskii function, a linear matrix inequality （LMI） approach is developed to establish the delay-dependent criteria for the passivity stability of multi-agent systems. The sufficient condition is given for checking the passivity stability. The proposed LMI result is computationally efficient. An example is given to show the effectiveness of the method.