{"title":"A Finite-Time Consensus Protocol of the Multi-Agent Systems","authors":"Xin-Lei Feng, Ting-Zhu Huang","volume":51,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":357,"pagesEnd":360,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/1348","abstract":"
According to conjugate gradient algorithm, a new consensus protocol algorithm of discrete-time multi-agent systems is presented, which can achieve finite-time consensus. Finally, a numerical example is given to illustrate our theoretical result.<\/p>\r\n","references":"[1] N. A. Lynch, Distributed algorithms, San Francisco, CA: Morgan Kaufmann,\r\n1997.\r\n[2] Y. P. Tian, C. L Liu, Consensus of multi-agent systems with diverse\r\ninput and communication delays, IEEE Trans. Autom. Control ,\r\n53(9)(2008)2122-2128.\r\n[3] W. Ren, Collective Motion from Consensus with Cartesian Coordinate\r\nCoupling-Part I: Single-integrator Kinematics, Proceedings of the 47th\r\nIEEE Conf. on Decision and Control, Cancun, Mexico, Dec. 9-11, 2008.\r\n[4] S. C. Weller, N. C. Mann, Bassessing rater performance without a F gold\r\nstandard using consensus theory, Med. Decision Making, 17(1)(1997)71-\r\n79.\r\n[5] J.D. Zhu, Y. P. Tian, J. Kuang, On the general consensus protocol of multiagent\r\nsystems with double integrator dynamics, Linear Algebra Appl.\r\n431(2009)701-715.\r\n[6] J. N. Tsitsiklis, B Problems in decentralized decision making and computation,\r\nPh.D. dissertation, Dept. Electr. Eng.Comput. Sci., Lab. Inf.\r\nDecision Syst.,Massachusetts Inst. Technol., Cambridge,MA, Nov. 1984.\r\n[7] W. Ren, Collective Motion from Consensus with Cartesian Coordinate\r\nCoupling - Part II: Double-integrator Dynamics. Proceedings of the 47th\r\nIEEE Conf. on Decision and Control, Cancun, Mexico, Dec. 9 -11, 2008.\r\n[8] H. Su, X. Wang, Second-order consensus of multiple agents with coupling\r\ndelay, Proc. 7th world Cong. on Intelligent Control and Autom. 2008,\r\n7181-7186\r\n[9] T. Vicsek, A. Cziroo k, E. Ben-Jacob,I. Cohen, and O. Shochet, B, Novel\r\ntype of phase transition in a system of self-deriven particles, Phys. Rev.\r\nLett., 75(6)(1995)1226-1229.\r\n[10] R.Olfati-Saber, R. Murray, Consensus problems in the networks of\r\nagents with switching topology and time delays, IEEE Trans. on Autom.\r\nControl, 49(9)(2004)1520-1533.\r\n[11] J. Corts, Finite-time convergent gradient flows with applications to\r\nnetwork consensus, Automatica 42(2006)1993 - 2000.\r\n[12] S.Y. Khoo; L.H. Xie; Z.H. Man, Robust Finite-Time Consensus Tracking\r\nAlgorithm for Multirobot Systems, IEEE\/ASME Trans. on Mechatronics,\r\n14(2)(2009)219 - 228.\r\n[13] F. Xiao, L. Wang, J. Chen, Y.p. Gao,Finite-time formation control for\r\nmulti-agent systems, Automatica 45(2009)2605 - 2611.\r\n[14] F.C. Jiang, L. Wang, Finite-time information consensus for multi-agent\r\nsystems with fixed and switching topologies, Phys. D 238(2009)1550-\r\n1560.\r\n[15] L. Wang, F. Xiao, Finite-Time Consensus Problems for Networks of\r\nDynamic Agents, IEEE Trans. on Autom. Control, 55(4)(2010)950-955.\r\n[16] G. Royle, C. Godsil, Algebraic Graph Theory, Springer Graduate Texts\r\nin Mathematics, vol. 207, Springer: New York, NY, 2001.\r\n[17] Olfati saber, \"Consensus and Cooperation in NetWorkedMulti-Agent\r\nSystems\", Proc. IEEE, 95(1)(2007)215 - 233.\r\n[18] O. Axelsson, V. Barker, Finite element solution of boundary value\r\nproblems, theory and computation, Acad. Press, Orlando, FL, 1984.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 51, 2011"}