Bipartite Linear χ-Consensus of Double-Integrator Multi-Agent Systems With Measurement Noise

被引：17
作者：
Ma, Cuiqin [1 ]
Zhao, Weiwei [1 ]
Zhao, Yun-Bo [2 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China
[2] Zhejiang Univ Technol, Coll Informat Engn, Hangzhou 310023, Zhejiang, Peoples R China
来源：
ASIAN JOURNAL OF CONTROL | 2018年 / 20卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Bipartite linear chi-consensus; double-integrator; multi-agent systems; measurement noise; SUFFICIENT CONDITIONS; NETWORKS; ALGORITHMS; AGENTS;
D O I：
10.1002/asjc.1546
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The bipartite consensus problem is investigated for double-integrator multi-agent systems in the presence of measurement noise. A distributed protocol with time-varying consensus gain is proposed. By using tools of state transition matrix and algebraic graph theory, necessary and sufficient conditions for the designed protocol to be a mean square bipartite linear -consensus protocol are given. It is shown that the signed digraph being structurally balanced and having a spanning tree are not only sufficient, but also necessary for bipartite consensus. Furthermore, the protocol is proved to be a mean square bipartite average consensus protocol if the signed graph is weight balanced.
引用
收藏
页码：577 / 584
页数：8
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