Containment analysis and design for general linear multi-agent systems with time-varying delays

被引：32

作者：

Dong, Xiwang ^{[1
]}

Han, Liang ^{[1
]}

Li, Qingdong ^{[1
]}

Chen, Jian ^{[1
]}

Ren, Zhang ^{[1
]}

机构：

[1] Beihang Univ, Sch Automat Sci & Elect Engn, Sci & Technol Aircraft Control Lab, Beijing 100191, Peoples R China

来源：

NEUROCOMPUTING | 2016年 / 173卷

基金：

中国国家自然科学基金;

关键词：

Containment control; Cooperative control; General linear multi-agent system; Time-varying delay; SWARM SYSTEMS; TRACKING CONTROL; DYNAMICS; OBSERVERS; CONSENSUS; LEADER;

D O I：

10.1016/j.neucom.2015.09.055

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Containment analysis and design problems for general high-order linear time-invariant multi-agent systems with time-varying delays are studied, where the interaction topology is directed. Using the state information of each agent and neighboring agents, a protocol with time-varying delays is constructed, where the motion modes of the leaders can be specified. Based on Lyapunov-Krasovskii stability theory, sufficient conditions for general linear multi-agent systems with time-varying delays to achieve containment are proposed which only include four linear matrix inequalities independent of the number of agents. Moreover, an approach to determine the gain matrices in the protocol is presented. Finally, a numerical example is given to demonstrate the effectiveness of the obtained theoretical results. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：2062 / 2068

页数：7

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