2.765

2022影响因子

(CJCR)

  • 中文核心
  • EI
  • 中国科技核心
  • Scopus
  • CSCD
  • 英国科学文摘

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

离散时间多智能体系统的一致性

黄勤珍

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. doi: 10.3724/SP.J.1004.2012.01127
引用本文: 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. doi: 10.3724/SP.J.1004.2012.01127
HUANG Qin-Zhen. Consensus Analysis of Multi-agent Discrete-time Systems. ACTA AUTOMATICA SINICA, 2012, 38(7): 1127-1133. doi: 10.3724/SP.J.1004.2012.01127
Citation: HUANG Qin-Zhen. Consensus Analysis of Multi-agent Discrete-time Systems. ACTA AUTOMATICA SINICA, 2012, 38(7): 1127-1133. doi: 10.3724/SP.J.1004.2012.01127

离散时间多智能体系统的一致性

doi: 10.3724/SP.J.1004.2012.01127

Consensus Analysis of Multi-agent Discrete-time Systems

  • 摘要: 研究了离散时间高维线性系统的一致性问题. 所考虑的系统可视为包含多个个体的多智能体系统, 每个个体的动力学行为与其他个体不同并受其他个体状态的影响. 本文建立了系统具有一致性的若干充分必要条件. 如果一致性函数存在, 文章给出了该函数的显式表达. 文末用一个数值例子说明了所得的理论结果.
  • [1] Stilwell D J, Bishop B E. Platoons of underwater vehicles. IEEE Control Systems, 2000, 20(6): 45-52[2] Olfati-Saber R. Global configuration stabilization for the VTOL aircraft with strong input coupling. IEEE Transactions on Automatic Control, 2002, 47(11): 1949-1952[3] Fax J, Murray R. Information flow and cooperative control of vehicle formations. IEEE Transactions on Automatic Control, 2004, 49(9): 1465-1476[4] Ogren P, Fiorelli E, Leonard N. Cooperative control of mobile sensor networks: adaptive gradient climbing in a distributed environment. IEEE Transactions on Automatic Control, 2004, 49(8): 1292-1302[5] Olfati-Saber R, Murray R. Consensus problems in networks of agents with switching topology and time-delays. IEEE Transactions on Automatic Control, 2004, 49(9): 1520-1533[6] Ren W, Beard R. Consensus seeking in multiagent systems under dynamically changing interaction topologies. IEEE Transactions on Automatic Control, 2005, 50(5): 655-661[7] Wang L, Xiao F. A new approach to consensus problems indiscrete-time multiagent systems with time-delays. Science in China Series F, 2007, 50(4): 625-635[8] Hong Y, Hu J, Gao L. Tracking control for multi-agent consensus with an active leader and variable topology. Automatica, 2006, 42(7): 1177-1182[9] Lynch N. Distributed Algorithms. San Francisco: Morgan Kaufmann Publishers, 1996[10] Cao M, Morse A, Anderson B. Reaching a consensus in a dynamically changing environment: a graphical approach. SIAM Journal on Control and Optimization, 2008, 47(2): 575-600[11] Cheng D, Wang J, Hu X. An extension of LaSalle's invariance principle and its application to multi-agent consensus. IEEE Transactions on Automatic Control, 2008, 53(7): 1765-1770[12] 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[13] Fagnani F, Zampieri S. Average consensus with packet drop communication. SIAM Journal on Control and Optimization, 2009, 48(1): 102-133[14] Bauso D, Giarre L, Pesenti R. Consensus for networks with unknown but bounded disturbances. SIAM Journal on Control and Optimization, 2009, 48(3): 1756-1770[15] Zhu W, Cheng D. Leader-following consensus of second-order agents with multiple time-varying delays. Automatica, 2010, 46(12): 1994-1999[16] Ren W. Second-order consensus algorithm with extensions to switching topologies and reference models. In: Proceedings of the IEEE American Control Conference. New York, USA: IEEE, 2007. 1431-1436[17] Khan U. High Dimensional Consensus in Large-scale Networks: Theory and Applications [Ph.D. dissertation], Carnegie Mellon University, USA, 2009[18] Xi J, Cai N, Zhong Y. Consensus problems for high-order linear time-invariant swarm systems. Physica A: Statistical Mechanics and Its Applications, 2010, 389(24): 5619-5627[19] Olfati-Saber R, Fax J, Murray R. Consensus and cooperation in networked multi-agent systems. Proceedings of the IEEE, 2007, 95(1): 215-233[20] Lin P, Jia Y. Consensus of second-order discrete-time multi-agent systems with nonuniform time-delays and dynamically changing topologies. Automatica, 2009, 45(9): 2154-2158[21] Ren W. Collective motion from consensus with Cartesian coordinate coupling. IEEE Transactions on Automatic Control, 2009, 54(6): 1330-1335[22] Sun Y, 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[23] Xiao F, Wang L. Consensus problems for high-dimensional multi-agent systems. IET Control Theory and Applications, 2007, 1(3): 830-837[24] Luo Y P, Xia W H, Liu G R, Deng F Q. LMI approach to exponential stabilization of distributed parameter control systems with delay. Acta Automatica Sinica, 2009, 35(3): 299-304[25] Wang H P, Li J, Zhang K. Stability and Hopf bifurcation of the maglev system with delayed speed feedback control. Acta Automatica Sinica, 2007, 33(8): 829-834[26] Zhang W A, Yu L. Delay-dependent robust stability of neutral systems with mixed delays and nonlinear perturbations. Acta Automatica Sinica, 2007, 33(8): 863-866[27] Liu X. Constrained control of positive systems with delays. IEEE Transactions on Automatic Control, 2009, 54(7): 1596-1600[28] Liu X, Yu W, Wang L. Stability analysis for continuous-time positive systems with time-varying delays. IEEE Transactions on Automatic Control, 2010, 55(4): 1024-1028[29] Papachristodoulou A, Jadbabaie A, Munz U. Effects of delay in multi-agent consensus and oscillator synchronization. IEEE Transactions on Automatic Control, 2010, 55(6): 1471-1477[30] Xiao F, Wang L, Wang A. Consensus problems in discrete-time multiagent systems with fixed topology. Journal of Mathematical Analysis and Applications, 2006, 322(2): 587-598[31] Xiao F, Wang L. Dynamic behavior of discrete-time multiagent systems with general communication structures. Physica A: Statistical Mechanics and Its Applications, 2006, 370(2): 364-380[32] Meyer C D. Matrix Analysis and Applied Linear Algebra. Philadelphia: the Society for Industrial and Applied Mathematics, 2000
  • 加载中
计量
  • 文章访问数:  2607
  • HTML全文浏览量:  143
  • PDF下载量:  1126
  • 被引次数: 0
出版历程
  • 收稿日期:  2010-07-09
  • 修回日期:  2011-04-10
  • 刊出日期:  2012-07-20

目录

    /

    返回文章
    返回