Finite-/fixed-time bipartite consensus for first-order multi-agent systems via impulsive control

被引：24

作者：

Gao, Shuo ^{[1
]}

Wen, Guoguang ^{[1
]}

Zhai, Xiaoqin ^{[2
]}

Zheng, Peng ^{[3
]}

机构：

[1] Beijing Jiaotong Univ, Dept Math, Beijing, Peoples R China

[2] Cent Lille, CRIStAL, UMR CNRS 9189, F-59651 Villeneuve Dascq, France

[3] Univ Liverpool, Dept Comp Sci, Liverpool L69 3BX, Merseyside, England

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2023年 / 442卷

基金：

中国国家自然科学基金;

关键词：

Multi-agent systems; Bipartite consensus; Impulsive control; Finite-; fixed-time stability; STABILIZATION; NETWORKS;

D O I：

10.1016/j.amc.2022.127740

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the finite-/fixed-time bipartite consensus (FNTBC and FXTBC) of multi -agent systems (MASs) over signed graph via discontinuous impulsive control while con-sidering both leaderless and leader-following MASs. In contrast to the existing methods of FNTBC and FXTBC, the impulsive control has a better performance in convergence speed and less state information transmission, which is more practical and flexible in real ap-plications. To realize FNTBC and FXTBC for leaderless and leader-following MASs, a class of distributed impulsive control protocols is proposed. Then by utilizing impulsive control theory and finite-/fixed-time stability theory, some sufficient criteria and the settling time which are based on the proposed impulsive control protocols for FNTBC and FXTBC for leaderless and leader-following MASs are derived. It has been shown that the settling time for FNTBC depends on initial conditions of systems, while this limitation is removed for FXTBC. Finally, the proposed impulsive protocols are validated by some simulations, sepa-rately.(c) 2022 Elsevier Inc. All rights reserved.

引用

页数：13

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