中国物理B ›› 2011, Vol. 20 ›› Issue (2): 20511-020511.doi: 10.1088/1674-1056/20/2/020511

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Consensus of high-order continuous-time multi-agent systems with time-delays and switching topologies

史莹晶1, 杨谈2, 王伟3, 金跃辉4   

  1. (1)Institute of Astronautics and Aeronautics, University of Electronic Science and Technology of China, Chengdu 611731, China; (2)School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China; (3)School of Mechatronics Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China; (4)State Key Laboratory of Networking and Switching, Beijing University of Posts and Telecommunications, Beijing 100876, Chin
  • 收稿日期:2010-07-01 修回日期:2010-08-26 出版日期:2011-02-15 发布日期:2011-02-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 60672029), the National Basic Research Program of China (Grant No. 2009CB320505), and the National Defense Science and Technology Foundation of State Key Laboratory of Secure Communication (Grant No. 9140C1104020903).

Consensus of high-order continuous-time multi-agent systems with time-delays and switching topologies

Yang Tan(杨谈)a)†, Jin Yue-Hui(金跃辉)b), Wang Wei(王伟) c), and Shi Ying-Jing(史莹晶) d)   

  1. a School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China; b State Key Laboratory of Networking and Switching, Beijing University of Posts and Telecommunications, Beijing 100876, China; c School of Mechatronics Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China; d Institute of Astronautics and Aeronautics, University of Electronic Science and Technology of China, Chengdu 611731, China
  • Received:2010-07-01 Revised:2010-08-26 Online:2011-02-15 Published:2011-02-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 60672029), the National Basic Research Program of China (Grant No. 2009CB320505), and the National Defense Science and Technology Foundation of State Key Laboratory of Secure Communication (Grant No. 9140C1104020903).

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摘要： Consensus problems of high-order continuous-time multi-agent systems with time-delays and switching topologies are studied. The motivation of this work is to extend second-order continuous-time multi-agent systems from the literature. It is shown that consensus can be reached with arbitrarily bounded time-delays even though the communication topology might not have spanning trees. A numerical example is included to show the theoretical results.

关键词: high-order multi-agent systems, consensus, dynamically changing topologies, time-delays

Abstract: Consensus problems of high-order continuous-time multi-agent systems with time-delays and switching topologies are studied. The motivation of this work is to extend second-order continuous-time multi-agent systems from the literature. It is shown that consensus can be reached with arbitrarily bounded time-delays even though the communication topology might not have spanning trees. A numerical example is included to show the theoretical results.

Key words: high-order multi-agent systems, consensus, dynamically changing topologies, time-delays

中图分类号:  (Self-organized systems)

  • 05.65.+b
02.10.Yn (Matrix theory) 87.10.-e (General theory and mathematical aspects)