Impulsive Consensus for Leader-Following Multiagent Systems with Fixed and Switching Topology

被引：3
|
作者：
Liu, Zhi-Wei [1 ,2 ]
Guan, Zhi-Hong [2 ]
Zhou, Hong [1 ]
机构：
[1] Wuhan Univ, Dept Automat, Wuhan 430072, Peoples R China
[2] Huazhong Univ Sci & Technol, Coll Automat, Wuhan 430074, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2013年 / 2013卷
基金：
中国国家自然科学基金;
关键词：
DOUBLE-INTEGRATOR DYNAMICS; SUFFICIENT CONDITIONS; COMMUNICATION; AGENTS; ALGORITHMS; NETWORKS; SYNCHRONIZATION; COORDINATION; DELAYS;
D O I：
10.1155/2013/762861
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper studied the consensus problem of the leader-following multiagent system. It is assumed that the state information of the leader is only available to a subset of followers, while the communication among agents occurs at sampling instant. To achieve leader following consensus, a class of distributed impulsive control based on sampling information is proposed. By using the stability theory of impulsive systems, algebraic graph theory, and stochastic matrices theory, a necessary and sufficient condition for fixed topology and sufficient condition for switching topology are obtained to guarantee the leader-following consensus of the multiagent system. It is found that leader-following consensus is critically dependent on the sampling period, control gains, and interaction graph. Finally, two numerical examples are given to illustrate the effectiveness of the proposed approach and the correctness of theoretical analysis.
引用
收藏
页数：10
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