On Stability of Consensus Control of Discrete-Time Multi-Agent Systems by Multiple Pinning Agents

被引:4
作者
Xu, Dongwu [1 ]
Ushio, Toshimitsu [1 ]
机构
[1] Osaka Univ, Grad Sch Engn Sci, Toyonaka, Osaka 5608531, Japan
来源
IEEE CONTROL SYSTEMS LETTERS | 2019年 / 3卷 / 04期
关键词
Discrete-time; pinning control; consensus; digraph;
D O I
10.1109/LCSYS.2019.2920207
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this letter, we consider the consensus problem of discrete-time multi-agent systems where all states of all agents converge to a desired state by pinning multiple agents with state feedback controllers. By using the Gershgorin Theorem, we show sufficient conditions such that one of root loci of the multi-agent system crosses the unit circle earliest along the real axis and then diverges to minus infinity as the pinning gain increases from 0 to infinity, thus the upper bound of the pinning gain that achieves the consensus is obtained.
引用
收藏
页码:1038 / 1043
页数:6
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