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时变有向网络下仿射多个体系统的状态一致性
引用本文:金继东,郑毓蕃.时变有向网络下仿射多个体系统的状态一致性[J].中国科学:信息科学,2013(10):1365-1382.
作者姓名:金继东  郑毓蕃
作者单位:首都经济贸易大学,信息学院;上海大学,数学系,系统科学研究所
基金项目:上海高校一流学科资助项目
摘    要:本文探讨时变网络下多个体系统的状态一致性,研究了平稳离散时变有向网络下仿射多个体协同系统趋于状态一致的充分必要条件.由于线性多个体系统是仿射多个体系统的特例、非时变网络是平稳离散时变网络的特例、无向网络(对称网络)是有向网络的特例,因此本文的结论涵盖了此前有关一阶多个体协同系统状态一致性的主要理论结果.

关 键 词:仿射动力学系统  有向网络  多个体系统  离散时变网络  一致性

Consensus of afne multi-agent system under time-varying directed network
JIN JiDong;ZHENG YuFan.Consensus of afne multi-agent system under time-varying directed network[J].Scientia Sinica Techologica,2013(10):1365-1382.
Authors:JIN JiDong;ZHENG YuFan
Institution:JIN JiDong;ZHENG YuFan;School of Information,Capital University of Economics and Business;Institute of Systems Science,Department of Mathematics,Shanghai University;
Abstract:A kind of afne multi-agent cooperative systems under time-varying directed network is discussed in this paper. A necessary and sufcient condition for achieving consensus of such systems under steady discrete time-varying network is given. As linear system is a special case of afne systems, time-invariant network is a special case of the steady time-varying networks, and undirected network is a special case of directed network.The main result of this paper covers all main previous results of consensus problems relevant to the systems mentioned above, which is on consensus of frst-order multi-agent cooperative afne system.
Keywords:afne dynamical systems  directed network  multi-agent systems  discrete time-varying network  consistency
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