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受损多智能体系统的信息一致性

严卫生 李俊兵 王银涛

严卫生, 李俊兵, 王银涛. 受损多智能体系统的信息一致性. 自动化学报, 2012, 38(11): 1880-1884. doi: 10.3724/SP.J.1004.2012.01880
引用本文: 严卫生, 李俊兵, 王银涛. 受损多智能体系统的信息一致性. 自动化学报, 2012, 38(11): 1880-1884. doi: 10.3724/SP.J.1004.2012.01880
YAN Wei-Sheng, LI Jun-Bing, WANG Yin-Tao. Consensus for Damaged Multi-agent System. ACTA AUTOMATICA SINICA, 2012, 38(11): 1880-1884. doi: 10.3724/SP.J.1004.2012.01880
Citation: YAN Wei-Sheng, LI Jun-Bing, WANG Yin-Tao. Consensus for Damaged Multi-agent System. ACTA AUTOMATICA SINICA, 2012, 38(11): 1880-1884. doi: 10.3724/SP.J.1004.2012.01880

受损多智能体系统的信息一致性

doi: 10.3724/SP.J.1004.2012.01880
详细信息
    通讯作者:

    李俊兵

Consensus for Damaged Multi-agent System

  • 摘要: 针对受损多智能体系统的信息一致性问题, 基于代数图论提出了联合r连通概念, 给出了当系统中的部分成员受损或离开后不能继续原有工作时, 其余成员仍可实现一致性的充要条件. 研究结果表明, 在此条件下系统可失去成员的数量取决于系统的通信能力. 仿真实例验证了理论分析结果的正确性和有效性.
  • [1] Vicsek T, Czirók A, Ben-Jacob E, Cohen I, Schochet O. Novel type of phase transition in a system of self-driven particles. Physical Review Letters, 1995, 75(6): 1226-1229[2] Jadbabaie A, Lin J, Morse S A. Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Transactions on Automatic Control, 2003, 48(6): 988-1001[3] Olfati-Saber R, Murray R M. Consensus problems in networks of agents with switching topology and time-delays. IEEE Transactions on Automatic Control, 2004, 49(9): 1520-1533[4] Ren W, Beard R W. Consensus seeking in multiagent systems under dynamically changing interaction topologies. IEEE Transactions on Automatic Control, 2005, 50(5): 655-661[5] Ren W. Consensus tracking under directed interaction topologies: algorithms and experiments. IEEE Transactions on Control Systems Technology, 2010, 18(1): 230-237[6] Tahbaz-Salehi A, Jadbabaie A. A necessary and sufficient condition for consensus over random networks. IEEE Transactions on Automatic Control, 2008, 53(3): 791-795[7] Tahbaz-Salehi A, Jadbabaie A. Consensus over ergodic stationary graph processes. IEEE Transactions on Automatic Control, 2010, 55(1): 225-230[8] Wang L, Xiao F. Finite-time consensus problems for networks of dynamic agents. IEEE Transactions on Automatic Control, 2010, 55(4): 950-955[9] Sun Y G, Wang L. Consensus of multi-agent systems in directed networks with nonuniform time-varying delays. IEEE Transactions on Automatic Control, 2009, 54(7): 1607-1613[10] Xiao F, Wang L. Asynchronous consensus in continuous-time multi-agent systems with switching topology and time-varying delays. IEEE Transactions on Automatic Control, 2008, 53(8): 1804-1816[11] Fax J A, Murray R M. Information flow and cooperative control of vehicle formations. IEEE Transaction on Automatic Control, 2004, 49(9): 1465-1476[12] Huang Qin-Zhen. Consensus analysis of multi-agent discrete-time systems. Acta Automatica Sinica, 2012, 38(7): 1127-1133(黄勤珍. 离散时间多智能体系统的一致性. 自动化学报. 2012, 38(7): 1127-1133)[13] Yan Jing, Guan Xin-Ping, Luo Xiao-Yuan, Yang Xian. Consensus and trajectory planning with input constraints for multi-agent systems. Acta Automatica Sinica, 2012, 38(7): 1074-1082(闫敬, 关新平, 罗小元, 杨晛. 多智能体系统输入约束下的一致性与轨迹规划研究. 自动化学报. 2012, 38(7): 1074-1082)[14] Diestel R. Graph Theory. New York: Springer-Verlag, 2005[15] Horn R A, Johnson C R. Matrix Analysis. Cambridge: Cambridge University Press, 1987[16] Godsil C, Royle G F. Algebraic Graph Theory. New York: Springer-Verlag, 2001[17] Wolfowitz J. Products of indecomposable, aperiodic, stochastic matrices. Proceedings of the American Mathematical Society, 1963, 14(5): 733-736
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出版历程
  • 收稿日期:  2011-04-28
  • 修回日期:  2012-07-25
  • 刊出日期:  2012-11-20

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