| 有向网络下多个体系统的整体行为 |
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| 引用本文： | 金继东,郑毓蕃.有向网络下多个体系统的整体行为[J].系统科学与数学,2011,31(1). |
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| 作者姓名： | 金继东 郑毓蕃 |
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| 作者单位： | 1. 上海大学数学系,上海 200444;首都经济贸易大学计算机科学与技术系,北京 100070
2. 上海大学数学系,上海,200444 |
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| 基金项目： | 国家自然科学基金(60674046); Australia Research Council(ARC)资助项目 |
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| 摘 要： | 研究非时变有向通讯网络背景下一阶线性多个体动力学系统的整体行为.根据通讯网络的结构,系统可以区分为独立基本子系统和非独立基本子系统.当系统的控制规则为一类平凡的线性类型时,系统的独立基本子系统将趋于自身的一致状态,也即子系统中的每个个体趋于子系统的带权中心.独立基本子系统带权中心由子系统的系数矩阵的零特征根归一化左特征向量确定.非独立子系统中个体将趋于独立基本子系统带权中心的凸集内.当且仅当系统的独立基本子系统唯一时,系统实现一致性行为.
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| 关 键 词： | 多个体动力学系统 有向通讯网络 整体行为 Frobenius标准型 凸集 |
COLLECTIVE BEHAVIOR OF MULTI-AGENT SYSTEM UNDER DIRECTED NETWORK |
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| JIN Jidong,ZHENG Yufan.COLLECTIVE BEHAVIOR OF MULTI-AGENT SYSTEM UNDER DIRECTED NETWORK[J].Journal of Systems Science and Mathematical Sciences,2011,31(1). |
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| Authors: | JIN Jidong ZHENG Yufan |
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| Institution: | JIN Jidong (Department of Mathematics,Shanghai University,Shanghai 200444,Department of Computer Science and Technology,Capital University of Economics and Business,Beijing 100070) ZHENG Yufan (Department of Mathematics,Shanghai 200444) |
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| Abstract: | This paper works on multi-agent system under network.The network is described by time-invariant digraph and the agents are described by order-one dynamics.By means of the decomposition of network,the system can be decomposed into basic independent subsystems and basic dependent subsystems.With a linear control protocol,each basic independent system achieves its own consensus,i.e.,its agents move gradually into a fixed position(weighted-centre of the subsystem),which is decided by the left-eigenvectors of it... |
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| Keywords: | Multi-agent system directed communication network collective behavior Frobenius canonical form convex set |
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