具有时变时延的二阶多智能体系统在有向拓扑下的一致性问题

doi:10.3969/j.issn.0253-2778.2015.10.010

中国科学技术大学学报 ›› 2015, Vol. 45 ›› Issue (10): 871-880.DOI: 10.3969/j.issn.0253-2778.2015.10.010

• 论著 • 上一篇

具有时变时延的二阶多智能体系统在有向拓扑下的一致性问题

欧美英，谷胜伟，董可秀

1.滁州学院电子与电气工程学院，安徽滁州 239000； 2.滁州学院计算机与信息工程学院，安徽滁州 239000

收稿日期:2014-12-19 修回日期:2015-05-07 接受日期:2015-05-07 出版日期:2015-05-07 发布日期:2014-12-29

Consensus of second-order multi-agent systems with directed topologies and time-varying delays

OU Meiying, GU Shengwei, DONG Kexiu

1. School of Electronic and Electrical, Chuzhou University, Chuzhou 239000, P.R.China, 2. School of Computer and Information Engineering, Chuzhou University, Chuzhou 239000, P.R.China

Received:2014-12-19 Revised:2015-05-07 Accepted:2015-05-07 Online:2015-05-07 Published:2014-12-29
Contact: Ou Meiying
About author:Ou Meiying(Corresponding author),female,born in 1983, PhD/Lecturer. Research field:nonlinear system control,cooperative control of mobile robot systems and consensus of multi-agent systems.
Supported by:
Supported by Anhui Provincial Natural Science Foundation (1408085QF134), Natural Science Foundation of the Anhui Higher Education Institutions( KJ2015A252) and Initial Research Fund from Chuzhou University(2014qd022).

摘要/Abstract

摘要： 研究了具有时变时延的二阶多智能体系统的一致性问题，在通讯拓扑为有向图的前提下，讨论了两种情况的一致性问题. 首先, 对于固定的有向网络拓扑，假设有向图含有一颗生成树的前提下，研究了具有时变时延的二阶多智能体系统的一致性问题；然后，对于切换的有向网络拓扑，讨论了具有时变时延的二阶多智能体系统的一致性问题.针对于上述两种情况，通过LMI的方法分别给出了系统渐进稳定的条件.仿真例子证明了该方法的有效性.

关键词: 多智能体系统, 一致性, 有向网络拓扑, 时变时延, Lyapunov-Krasovskii 函数, 线性矩阵不等式

Abstract: The consensus problem of second-order multi-agent systems with directed topologies and time-varying delays is investigated,

Key words: multi-agent systems, consensus, directed network topologies, time-varying delays, Lyapunov-Krasovskii functional,

中图分类号:

TP18

欧美英，谷胜伟，董可秀. 具有时变时延的二阶多智能体系统在有向拓扑下的一致性问题[J]. 中国科学技术大学学报, 2015, 45(10): 871-880.

OU Meiying, GU Shengwei, DONG Kexiu. Consensus of second-order multi-agent systems with directed topologies and time-varying delays[J]. Journal of University of Science and Technology of China, 2015, 45(10): 871-880.

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具有时变时延的二阶多智能体系统在有向拓扑下的一致性问题

Consensus of second-order multi-agent systems with directed topologies and time-varying delays

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