Containment control of fractional-order nonlinear multi-agent systems under fixed topologies

被引：18
|
作者：
Zou, Wencheng [1 ]
Xiang, Zhengrong [1 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Automat, 200 Xiaolingwei St, Nanjing 210094, Jiangsu, Peoples R China
来源：
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2018年 / 35卷 / 03期
基金：
中国国家自然科学基金;
关键词：
fractional-order systems; containment control; multi-agent systems; nonlinear systems; FINITE-TIME CONSENSUS; LEADER-FOLLOWING CONSENSUS; FOLLOWER CONSENSUS; NETWORKS; DELAYS;
D O I：
10.1093/imamci/dnx013
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This article investigates the containment control problem of fractional-order nonlinear multi-agent systems under fixed topologies. The containment control problem of multi-agent systems is first transformed to the stability problem of fractional-order nonlinear systems. A distributed protocol is then proposed. By using the Lyapunov function method of fractional-order systems, it is proved that under the designed protocol, the followers can asymptotically converge to a dynamic convex hull spanned by multiple leaders. Numerical simulations are provided to illustrate the effectiveness of the proposed protocols.
引用
收藏
页码：1027 / 1041
页数：15
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