메뉴 건너뛰기




Volumn 59, Issue 2, 2014, Pages 449-455

A mean field game synthesis of initial mean consensus problems: A continuum approach for non-gaussian behavior

Author keywords

Consensus problems; continuum models; decentralized control; mean field control; Nash equilibria; stochastic optimal control

Indexed keywords

CONTINUUM MECHANICS; DECENTRALIZED CONTROL; GAME THEORY; GAUSSIAN NOISE (ELECTRONIC); POPULATION STATISTICS; STATE FEEDBACK; TELECOMMUNICATION NETWORKS;

EID: 84893711130     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2013.2270867     Document Type: Article
Times cited : (17)

References (21)
  • 4
    • 77958607302 scopus 로고    scopus 로고
    • A survey on distributed estimation and control applications using linear consensus algorithms
    • Sys, A. Bemporad,M. Heemels, andM. Johansson, Eds. Berlin, Germany: Springer
    • F. Garin and L. Schenato, "A survey on distributed estimation and control applications using linear consensus algorithms," in Netw. Cont. Sys, A. Bemporad,M. Heemels, andM. Johansson, Eds. Berlin, Germany: Springer, 2011, pp. 75-107.
    • Netw. Cont , vol.2011 , pp. 75-107
    • Garin, F.1    Schenato, L.2
  • 5
    • 68849084877 scopus 로고    scopus 로고
    • A reference case for mean field games models
    • O. Gueant, "A reference case for mean field games models," J. Math. Pures & App., vol. 92, no. 3, pp. 276-294, 2009.
    • (2009) J. Math. Pures & App , vol.92 , Issue.3 , pp. 276-294
    • Gueant, O.1
  • 7
    • 34648831837 scopus 로고    scopus 로고
    • Large-population cost-coupled LQG problems with nonuniform agents: Individual-mass behavior and decentralized ε-nash equilibria
    • DOI 10.1109/TAC.2007.904450
    • M. Huang, P. E. Caines, and R. P. Malhame, "Large-population costcoupled LQG problems with nonuniform agents: Individual-mass behavior and decentralized -Nash equilibria," IEEE Trans. Autom. Control, vol. 52, no. 9, pp. 1560-1571, Sep. 2007. (Pubitemid 47456068)
    • (2007) IEEE Transactions on Automatic Control , vol.52 , Issue.9 , pp. 1560-1571
    • Huang, M.1    Caines, P.E.2    Malhame, R.P.3
  • 8
    • 84862976475 scopus 로고    scopus 로고
    • Social optima in mean field LQG control: Centralized and decentralized strategies
    • Jul
    • M. Huang, P. E. Caines, and R. P. Malhame, "Social optima in mean field LQG control: Centralized and decentralized strategies," IEEE Trans. Autom. Control, vol. 57, no. 7, pp. 1736-1751, Jul. 2012.
    • (2012) IEEE Trans. Autom. Control , vol.57 , Issue.7 , pp. 1736-1751
    • Huang, M.1    Caines, P.E.2    Malhame, R.P.3
  • 9
    • 39549087376 scopus 로고    scopus 로고
    • Large population stochastic dynamic games: Closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle
    • M. Huang, R. P. Malhame, and P. E. Caines, "Large population stochastic dynamic games: Closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle," Commun. in Inf. and Sys., vol. 6, no. 3:221-252, 2006.
    • (2006) Commun. in Inf. and Sys , vol.6 , Issue.3 , pp. 221-252
    • Huang, M.1    Malhame, R.P.2    Caines, P.E.3
  • 10
    • 75449105202 scopus 로고    scopus 로고
    • Stochastic consensus seeking with noisy and directed inter-agent communication: Fixed and randomly varying topologies,"
    • Jan
    • M. Huang and J. H. Manton, "Stochastic consensus seeking with noisy and directed inter-agent communication: Fixed and randomly varying topologies," IEEE Trans. Autom. Control, vol. 55, no. 1, pp. 235-241, Jan. 2010.
    • (2010) IEEE Trans. Autom. Control , vol.55 , Issue.1 , pp. 235-241
    • Huang, M.1    Manton, J.H.2
  • 13
    • 84893685299 scopus 로고    scopus 로고
    • A solution to the initial mean consensus problem via a continuum based mean field control approach
    • 50th IEEE CDC and ECC, Orlando, FL, Dec
    • M. Nourian, P. E. Caines, and R. P. Malhame, "A solution to the initial mean consensus problem via a continuum based mean field control approach," in Proc. 50th IEEE CDC and ECC, Orlando, FL, Dec. 2012, pp. 5029-5034.
    • (2012) Proc , pp. 5029-5034
    • Nourian, M.1    Caines, P.E.2    Malhame, R.P.3
  • 14
    • 80051936441 scopus 로고    scopus 로고
    • A solution to the consensus problem via stochastic mean field control
    • 2nd IFAC NecSys Workshop, Annecy, France, Sep
    • M. Nourian, P. E. Caines, R. P. Malhame, and M. Huang, "A solution to the consensus problem via stochastic mean field control," in Proc. 2nd IFAC NecSys Workshop, Annecy, France, Sep. 2010, pp. 323-328.
    • (2010) Proc , pp. 323-328
    • Nourian, M.1    Caines, P.E.2    Malhame, R.P.3    Huang, M.4
  • 15
    • 84869223716 scopus 로고    scopus 로고
    • Mean field LQG control in leader-follower stochastic multi-agent systems: Likelihood ratio based adaptation
    • Nov
    • M. Nourian, P. E. Caines, R. P. Malhame, and M. Huang, "Mean field LQG control in leader-follower stochastic multi-agent systems: Likelihood ratio based adaptation," IEEE Trans. Autom. Control, vol. 57, no. 11, pp. 2801-2816, Nov. 2012.
    • (2012) IEEE Trans. Autom. Control , vol.57 , Issue.11 , pp. 2801-2816
    • Nourian, M.1    Caines, P.E.2    Malhame, R.P.3    Huang, M.4
  • 16
    • 84874613599 scopus 로고    scopus 로고
    • Nash, social and centralized solutions to consensus problems via mean field control theory
    • Mar
    • M. Nourian, P. E. Caines, R. P.Malhame, and M. Huang, "Nash, social and centralized solutions to consensus problems via mean field control theory," IEEE Trans. Autom. Control, vol. 58, no. 3, pp. 639-653,Mar. 2013.
    • (2013) IEEE Trans. Autom. Control , vol.58 , Issue.3 , pp. 639-653
    • Nourian, M.1    Caines, P.E.2    Malhame, R.P.3    Huang, M.4
  • 17
    • 64149119332 scopus 로고    scopus 로고
    • Consensus and cooperation in networked multi-agent systems
    • Jan
    • R. Olfati-Saber, J. A. Fax, and R. M. Murray, "Consensus and cooperation in networked multi-agent systems," Proc. IEEE, vol. 95 s1, pp. 215-233, Jan. 2007.
    • (2007) Proc.IEEE , vol.95 , Issue.1 , pp. 215-233
    • Olfati-Saber, R.1    Fax, J.A.2    Murray, R.M.3
  • 18
    • 23944486457 scopus 로고    scopus 로고
    • A survey of consensus problems in multi-agent coordination
    • ThA04.2, Proceedings of the 2005 American Control Conference, ACC
    • W. Ren, R. W. Beard, and E. M. Atkins, "A survey of consensus problems in multi-agent coordination," in Proc. ACC, Portland, OR, Jun. 2005, pp. 1859-1864. (Pubitemid 41189135)
    • (2005) Proceedings of the American Control Conference , vol.3 , pp. 1859-1864
    • Ren, W.1    Beard, R.W.2    Atkins, E.M.3
  • 19
    • 55849142556 scopus 로고    scopus 로고
    • On rendezvous control with randomly switching communication graphs
    • L. Schenato and S. Zampieri, "On rendezvous control with randomly switching communication graphs," Networks and Heterogeneous Media, vol. 2, no. 4, pp. 627-646, 2007.
    • (2007) Networks and Heterogeneous Media , vol.2 , Issue.4 , pp. 627-646
    • Schenato, L.1    Zampieri, S.2
  • 20
    • 77249110635 scopus 로고    scopus 로고
    • Consensus conditions of multi-agent systems with time-varying topologies and stochastic communication noises
    • Sep
    • T. Li and J.-F. Zhang, "Consensus conditions of multi-agent systems with time-varying topologies and stochastic communication noises," IEEE Trans. Autom. Control, vol. 55, no. 9, pp. 2043-2057, Sep. 2010.
    • (2010) IEEE Trans. Autom. Control , vol.55 , Issue.9 , pp. 2043-2057
    • Li, T.1    Zhang, J.-F.2
  • 21
    • 84859709769 scopus 로고    scopus 로고
    • Synchronization of coupled oscillators is a game
    • Apr
    • H. Yin, P. G. Mehta, S. P. Meyn, and U. V. Shanbhag, " Synchronization of coupled oscillators is a game," IEEE Trans. Autom. Control, vol. 57, no. 4, pp. 920-935, Apr. 2012.
    • (2012) IEEE Trans. Autom. Control , vol.57 , Issue.4 , pp. 920-935
    • Yin, H.1    Mehta, P.G.2    Meyn, S.P.3    Shanbhag, U.V.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.