Consensus Analysis of Fractional-Order Multiagent Systems with Double-Integrator

被引：7
|
作者：
Yang, Chunde [1 ]
Li, Wenjing [1 ]
Zhu, Wei [1 ]
机构：
[1] Chongqing Univ Posts & Telecommun, Res Ctr Syst Theory & Applicat, Chongqing 400065, Peoples R China
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2017年 / 2017卷
基金：
中国国家自然科学基金;
关键词：
LEADER-FOLLOWING CONSENSUS; COORDINATION;
D O I：
10.1155/2017/9256532
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In nature, many phenomena can be explained by coordinated behavior of agents with fractional-order dynamics. In this paper, the consensus problem of fractional-order multiagent systems with double-integrator is studied, where the fractional-order satisfies 0<alpha< 2. Based on the fractional-order stability theory, Mittag-Leffler function, and Laplace transform, a necessary and sufficient condition is obtained under the assumption that the directed graph for the communication network contains a directed spanning tree. Finally, an example with simulation is presented to illustrate the theoretical results.
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收藏
页数：8
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