| 多智能体系统可控性的图论刻画 |
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| 引用本文： | 张安慧,张世杰,陈健,郭海波,孔宪仁,王峰.多智能体系统可控性的图论刻画[J].控制与决策,2011,26(11):1621-1626. |
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| 作者姓名： | 张安慧 张世杰 陈健 郭海波 孔宪仁 王峰 |
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| 作者单位： | 哈尔滨工业大学卫星技术研究所,哈尔滨,150080 |
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| 基金项目： | 国家自然科学基金项目(60704020); 教育部博士点新教师基金项目(20092302120067); 微小型航天器技术国防重点学科实验室开放基金项目(HIT.KLOF.2009097) |
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| 摘 要： | 研究领航者-跟随者结构多智能体系统的可控性问题.利用松弛的等价分化刻画了系统可控性与信息拓扑结构之间的关系,为系统可控性提供了基于图论的判别方法.基于置换群理论将对称的概念推广到多领航者系统,并证明了3种图论工具（对称性、等价分化和松弛的等价分化）之间的包含关系.仿真结果验证了所提出方法的有效性.
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| 关 键 词： | 多智能体系统 可控性 轨道分化 松弛的等价分化 |
| 收稿时间： | 2010/6/12 0:00:00 |
| 修稿时间： | 2010/8/19 0:00:00 |
Graph-theoretic characterization of controllability for multi-agent systems |
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| ZHANG An-hui,ZHANG Shi-jie,CHEN Jian,GUO Hai-bo,KONG Xian-ren,WANG Feng.Graph-theoretic characterization of controllability for multi-agent systems[J].Control and Decision,2011,26(11):1621-1626. |
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| Authors: | ZHANG An-hui ZHANG Shi-jie CHEN Jian GUO Hai-bo KONG Xian-ren WANG Feng |
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| Affiliation: | ZHANG An-hui,ZHANG Shi-jie,CHEN Jian,GUO Hai-bo,KONG Xian-ren,WANG Feng(Research Center of Satellite Technology,Harbin Institute of Technology,Harbin 150080,China.) |
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| Abstract: | The paper studies the controllability problem for multi-agent systems with leader-follower structure.The relationship between system controllability and communication topology is characterized based on graph theory.A graph theoretic criterion for controllability is provided.The concept of symmetry is extended to multi-leaders systems through permutation group theory,it is proved that both topology symmetry and equitable partition are two special cases of relaxed equitable partitions.Simulation results show ... |
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| Keywords: | multi-agent system controllability orbit partition relaxed equitable partition |
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