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Volumn 2005, Issue , 2005, Pages 4505-4510

The max-plus finite element method for optimal control problems: Further approximation results

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; OPTIMAL CONTROL SYSTEMS; PROBLEM SOLVING; STIFFNESS MATRIX;

EID: 33847179452     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2005.1582872     Document Type: Conference Paper
Times cited : (7)

References (18)
  • 3
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    • V. Maslov, Méthodes Operatorielles. Moscou: Mir, 1973, french Transi. 1987.
    • V. Maslov, Méthodes Operatorielles. Moscou: Mir, 1973, french Transi. 1987.
  • 4
    • 33847204566 scopus 로고
    • Idempotent analysis
    • and, Eds, Sov. Math. RI: AMS
    • V. P. Maslov and S. Samborskiǐ, Eds., Idempotent analysis, ser. Adv. in Sov. Math. RI: AMS, 1992, vol. 13.
    • (1992) ser. Adv , vol.13
  • 9
    • 0013247963 scopus 로고    scopus 로고
    • Weak KAM theorem in Lagrangian dynamics. Cambridge University Press
    • to appear
    • A. Fathi, Weak KAM theorem in Lagrangian dynamics. Cambridge University Press, to appear.
    • Fathi, A.1
  • 10
    • 0000873359 scopus 로고    scopus 로고
    • A max-plus-based algorithm for a Hamilton-Jacobi-Bellman equation of nonlinear filtering
    • W. H. Fleming and W. M. McEneaney, "A max-plus-based algorithm for a Hamilton-Jacobi-Bellman equation of nonlinear filtering," SIAM J. Control Optim., vol. 38, no. 3, pp. 683-710, 2000.
    • (2000) SIAM J. Control Optim , vol.38 , Issue.3 , pp. 683-710
    • Fleming, W.H.1    McEneaney, W.M.2
  • 11
    • 33847236368 scopus 로고    scopus 로고
    • M. Akian, S. Gaubert, and A. Lakhoua, A max-plus finite element method for solving finite horizon deterministic optimal control problems, in Proceedings of MTNS'04, Leuven, Belgium, 2004, and arXiv:math.OC/0404184, April 2004.
    • M. Akian, S. Gaubert, and A. Lakhoua, "A max-plus finite element method for solving finite horizon deterministic optimal control problems," in Proceedings of MTNS'04, Leuven, Belgium, 2004, and arXiv:math.OC/0404184, April 2004.
  • 13
    • 33847205875 scopus 로고    scopus 로고
    • T. S. Blyth and M. F. Janowitz, Residuation theory. Oxford: Pergamon Press, 1972, international Series of Monographs in Pure and Applied Mathematics, 102.
    • T. S. Blyth and M. F. Janowitz, Residuation theory. Oxford: Pergamon Press, 1972, international Series of Monographs in Pure and Applied Mathematics, Vol. 102.
  • 14
    • 0012074126 scopus 로고    scopus 로고
    • Idempotent functional analysis: An algebraic approach
    • G. L. Litvinov, V. P. Maslov, and G. B. Shpiz, "Idempotent functional analysis: an algebraic approach," Math. Notes, vol. 69, no. 5, pp. 696-729, 2001.
    • (2001) Math. Notes , vol.69 , Issue.5 , pp. 696-729
    • Litvinov, G.L.1    Maslov, V.P.2    Shpiz, G.B.3
  • 15
    • 0742285656 scopus 로고    scopus 로고
    • Duality and separation theorem in idempotent semimodules
    • G. Cohen, S. Gaubert, and J.-P. Quadrat, "Duality and separation theorem in idempotent semimodules," Linear Algebra and Appl., vol. 379, pp. 395-422, 2004.
    • (2004) Linear Algebra and Appl , vol.379 , pp. 395-422
    • Cohen, G.1    Gaubert, S.2    Quadrat, J.-P.3
  • 17
    • 27144488527 scopus 로고
    • The Cauchy problem for the homogeneous Bellman equation
    • V. N. Kolokoltsov and V. P. Maslov, "The Cauchy problem for the homogeneous Bellman equation," Soviet Math. Dokl., vol. 36, no. 2, pp. 326-330, 1988.
    • (1988) Soviet Math. Dokl , vol.36 , Issue.2 , pp. 326-330
    • Kolokoltsov, V.N.1    Maslov, V.P.2
  • 18
    • 33847227817 scopus 로고    scopus 로고
    • Résolution numérique de problèmes de commande optimale déterministe et algèbre max-plus
    • Université Paris VI
    • A. Lakhoua, "Résolution numérique de problèmes de commande optimale déterministe et algèbre max-plus," Rapport de DEA, Université Paris VI, 2003.
    • (2003) Rapport de DEA
    • Lakhoua, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.