Necessary and Sufficient Conditions for Consensusability of Linear Multi-Agent Systems

被引：638

作者：

Ma, Cui-Qin ^{[1
]}

Zhang, Ji-Feng ^{[2
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

[2] Chinese Acad Sci, Key Lab Syst & Control, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2010年 / 55卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Consensusability; consensusability condition; consensus protocol; linear time-invariant (LTI) system; multi-agent system (MAS); COOPERATIVE CONTROL; INFORMATION-FLOW;

D O I：

10.1109/TAC.2010.2042764

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Consensusability of multi-agent systems (MASs) is a fundamental problem in the MAS research area, since when starting to design a consensus protocol, one should know whether or not there exists such a protocol that has the ability to make the MAS involved consensus. This technical note is aimed at studying the joint impact of the agent dynamic structure and the communication topology on consensusability. For the MASs with fixed topology and agents described by linear time-invariant systems, a necessary condition of consensusability with respect to a set of admissible consensus protocols is given, which is shown, under some mild conditions, to be necessary and sufficient.

引用

页码：1263 / 1268

页数：6

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