Coordination of fractional-order nonlinear multi-agent systems via distributed impulsive control

被引：37
作者：
Ma, Tiedong [1 ,2 ]
Li, Teng [2 ]
Cui, Bing [3 ]
机构：
[1] Chongqing Univ, Minist Educ, Key Lab Dependable Serv Comp Cyber Phys Soc, Chongqing, Peoples R China
[2] Chongqing Univ, Sch Automat, Chongqing, Peoples R China
[3] Beijing Inst Technol, Sch Automat, Beijing, Peoples R China
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2018年 / 49卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Multi-agent systems; cooperative control; impulsive control; fractional-order; LEADER-FOLLOWING CONSENSUS; NETWORKS; DESIGN; INPUT;
D O I：
10.1080/00207721.2017.1397805
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The coordination of fractional-order nonlinear multi-agent systems via distributed impulsive control method is studied in this paper. Based on the theory of impulsive differential equations, algebraic graph theory, Lyapunov stability theory and Mittag-Leffler function, two novel sufficient conditions for achieving the cooperative control of a class of fractional-order nonlinear multi-agent systems are derived. Finally, two numerical simulations are verified to illustrate the effectiveness and feasibility of the proposed method.
引用
收藏
页码：1 / 14
页数：14
相关论文
共 51 条
[1]  
[Anonymous], 1999, FRACTIONAL DIFFERENT
[2]   Distributed consensus tracking for the fractional-order multi-agent systems based on the sliding mode control method [J].
Bai, Jing ;
Wen, Guoguang ;
Rahmani, Ahmed ;
Yu, Yongguang .
NEUROCOMPUTING, 2017, 235 :210-216
[3]   Consensus with a reference state for fractional-order multi-agent systems [J].
Bai, Jing ;
Wen, Guoguang ;
Rahmani, Ahmed ;
Chu, Xing ;
Yu, Yongguang .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2016, 47 (01) :222-234
[4]   Distributed formation control of fractional-order multi-agent systems with absolute damping and communication delay [J].
Bai, Jing ;
Wen, Guoguang ;
Rahmani, Ahmed ;
Yu, Yongguang .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2015, 46 (13) :2380-2392
[5]  
Cao YC, 2008, IEEE DECIS CONTR P, P2920, DOI 10.1109/CDC.2008.4739171
[6]   Distributed formation control for fractional-order systems: Dynamic interaction and absolute/relative damping [J].
Cao, Yongcan ;
Ren, Wei .
SYSTEMS & CONTROL LETTERS, 2010, 59 (3-4) :233-240
[7]   Distributed Coordination of Networked Fractional-Order Systems [J].
Cao, Yongcan ;
Li, Yan ;
Ren, Wei ;
Chen, YangQuan .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2010, 40 (02) :362-370
[8]   Reaching a consensus via pinning control [J].
Chen, Fei ;
Chen, Zengqiang ;
Xiang, Linying ;
Liu, Zhongxin ;
Yuan, Zhuzhi .
AUTOMATICA, 2009, 45 (05) :1215-1220
[9]   Distributed containment control of fractional-order uncertain multi-agent systems [J].
Chen, Jie ;
Guan, Zhi-Hong ;
Yang, Chao ;
Li, Tao ;
He, Ding-Xin ;
Zhang, Xian-He .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2016, 353 (07) :1672-1688
[10]   Multiconsensus of fractional-order uncertain multi-agent systems [J].
Chen, Jie ;
Guan, Zhi-Hong ;
Li, Tao ;
Zhang, Ding-Xue ;
Ge, Ming-Feng ;
Zheng, Ding-Fu .
NEUROCOMPUTING, 2015, 168 :698-705
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