| 领导-跟随多智能体系统的滞后一致性 |
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| 引用本文： | 谢媛艳,王毅,马忠军.领导-跟随多智能体系统的滞后一致性[J].物理学报,2014,63(4):40202-040202. |
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| 作者姓名： | 谢媛艳 王毅 马忠军 |
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| 作者单位： | 1. 桂林电子科技大学数学与计算科学学院, 桂林 541004;
2. 浙江财经大学数学与统计学院, 杭州 310012 |
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| 基金项目： | 国家自然科学基金（批准号：11271009, 11162004）和广西自然科学基金（批准号：2013GXNSFAA019006）资助的课题. |
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| 摘 要： | 近年来,随着应用的需要和技术的发展,多智能体系统的一致性逐渐成为研究热点.在通信网络和工程应用中,由于信号传播的延迟效应,系统中智能体的状态可能表现为滞后一致.本文提出多智能体系统的滞后一致性概念,研究了有向网络环境下一阶领导-跟随多智能体系统的滞后一致性问题.通过设计合适的控制协议,利用矩阵理论和稳定性理论,获得该系统达到滞后一致的充分条件.数值模拟验证了理论结果的正确性.
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| 关 键 词： | 多智能体系统 一致性 时滞 |
| 收稿时间： | 2013-10-02 |
Delay consensus of leader-following multi-agent systems |
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| Xie Yuan-Yan,Wang Yi,Ma Zhong-Jun.Delay consensus of leader-following multi-agent systems[J].Acta Physica Sinica,2014,63(4):40202-040202. |
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| Authors: | Xie Yuan-Yan Wang Yi Ma Zhong-Jun |
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| Institution: | 1. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China;
2. School of Mathematics and Statistics, Zhejiang University of Finance and Economics, Hangzhou 310012, China |
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| Abstract: | In recent years, there has been the increasing interest in the research on the consensus of multi-agent systems because of the need of application and the development of technology. In communication networks and engineering applications, due to signal propagation delays, time delay may exist in the consensus state of systems. In this paper, a concept on delay consensus is first defined, and then the problem of first-order delay consensus in leader-following multi-agent systems is discussed. By designing an appropriate control protocol and using the graph theory, matrix theory and Lyapunov stability theory, a sufficient condition is given to realize delay consensus of the multi-agent systems. Numerical simulations are given to verify the theoretical results. |
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| Keywords: | multi-agent system consensus delay |
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