Containment control for fractional-order multi-agent systems with mixed time delays

被引：6

作者：

Liu, Song ^{[1
,2
]}

Fu, Xinyu ^{[1
,3
]}

Zhao, Xiao-Wen ^{[4
]}

Pang, Denghao ^{[5
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China

[2] Anhui Univ, Ctr Pure Math, Hefei, Peoples R China

[3] Huangshan Univ, Sch Math & Stat, Huangshan, Peoples R China

[4] Hefei Univ Technol, Sch Math, Hefei, Peoples R China

[5] Anhui Univ, Sch Internet, Hefei, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 03期

关键词：

containment control; fractional-order multi-agent system; mixed time delay; Razumikhin technique; CONSENSUS; LEADERLESS;

D O I：

10.1002/mma.8002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper offers a simple and reliable method to handle containment control for fractional-order multi-agent systems (FOMASs) with mixed time delays. Applying graph theory and fractional Razumikhin technique, some algebraic conditions are proposed by adopting non-delayed and delayed protocols, respectively. The proposed method can deal with well the troubles and difficulties arising from time delays and fractional derivatives. Finally, an illustrative example further clarifies the reliability and validity of our results.

引用

页码：3176 / 3186

页数：11

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