Consensus of fractional-order delayed multi-agent systems in Riemann-Liouville sense

被引：13
|
作者：
Yang, Ran [1 ]
Liu, Song [1 ]
Li, Xiaoyan [1 ]
Zhao, Xiao-Wen [2 ]
Pan, Genan [3 ]
机构：
[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China
[2] Hefei Univ Technol, Sch Math, Hefei 230009, Peoples R China
[3] Hefei Normal Univ, Sch Math & Stat, Hefei 230601, Peoples R China
来源：
NEUROCOMPUTING | 2020年 / 396卷
基金：
中国国家自然科学基金;
关键词：
Consensus; Fractional-order delayed multi-agent system; Riemann-Liouville derivative; Lyapunov direct method; LEADER-FOLLOWING CONSENSUS; ASYMPTOTICAL STABILITY; NETWORKS;
D O I：
10.1016/j.neucom.2020.02.040
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Fractional-order delayed multi-agent systems (FDMASs) in Riemann-Liouville sense are considered, where the corresponding topology is a weighted digraph. A new method is adopted to analyze consensus and some algebraic criteria are provided by applying classical Lyapunov direct method and algebraic graph theory. The main merit of our proposed approach is that the first-order derivative of the corresponding Lyapunov function can be taken. Two illustrative examples are provided to further show the validity of our approach. (C) 2020 Elsevier B.V. All rights reserved.
引用
收藏
页码：123 / 129
页数：7
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