Containment control analysis of delayed nonlinear fractional-order multi-agent systems

被引：0
|
作者：
Pang, Denghao [1 ]
Liu, Song [2 ,3 ]
Zhao, Xiao-Wen [4 ]
机构：
[1] Anhui Univ, Sch Internet, Hefei, Peoples R China
[2] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China
[3] Anhui Univ, Ctr Pure Math, Hefei, Peoples R China
[4] Hefei Univ Technol, Sch Math, Hefei, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年
基金：
中国国家自然科学基金;
关键词：
containment control; delayed nonlinear fractional-order multi-agent system; Razumikhin method; CONSENSUS; ALGORITHMS; LEADERLESS; DYNAMICS;
D O I：
10.1002/mma.10354
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers containment control (CC) of delayed nonlinear fractional-order multi-agent systems (FMASs). A reliable and effective method is proposed to deal with the difficulties brought from fractional calculus and delays. Utilizing improved Razumikhin method, algebraic graph theory, and matrix analysis technique, several simple algebraic conditions are provided to solve CC by choosing nondelayed or delayed communication protocols, respectively. Numerical results are also offered to clarify the efficiency of our theoretical method.
引用
收藏
页数：18
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