Résolution numérique de certains problèmes de commande optimale

J. Abadie; M. Bichara

RAIRO - Operations Research - Recherche Opérationnelle (1973)

  • Volume: 7, Issue: V2, page 77-105
  • ISSN: 0399-0559

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Abadie, J., and Bichara, M.. "Résolution numérique de certains problèmes de commande optimale." RAIRO - Operations Research - Recherche Opérationnelle 7.V2 (1973): 77-105. <http://eudml.org/doc/104573>.

@article{Abadie1973,
author = {Abadie, J., Bichara, M.},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
language = {fre},
number = {V2},
pages = {77-105},
publisher = {EDP-Sciences},
title = {Résolution numérique de certains problèmes de commande optimale},
url = {http://eudml.org/doc/104573},
volume = {7},
year = {1973},
}

TY - JOUR
AU - Abadie, J.
AU - Bichara, M.
TI - Résolution numérique de certains problèmes de commande optimale
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1973
PB - EDP-Sciences
VL - 7
IS - V2
SP - 77
EP - 105
LA - fre
UR - http://eudml.org/doc/104573
ER -

References

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  1. ABADIE ( J.), I. Application of the GRG algorithm to optimal control problems, ch. 8 in : Integer and Non linear Programming, J. Abadie (ed.), North-Holland Publishing Company, Amsterdam, 1970. Zbl0332.90040MR437059
  2. ABADIE ( J.), II. Optimization Problems with coupled Blocks, Economic Computation and Economic Cybernetics Studies and Research, année 1970, n° 4, pages 5-26, 1970. Zbl0249.90068MR300646
  3. ABADIE ( J.) et BICHARA ( M.), Expériences numériques sur une méthode de résolution de certains problèmes de commande optimale, Électricité de France, Direction des Études et Recherches, Note HI 739/00, 1972. 
  4. ABADIE ( J.) et CARPENTIER ( J.), Generalization of the Wolfe Reduced Gradient method to the case of nonlinear constraints, ch. 4 in : Optimization, R. Fletcher (ed.), Academic Press, London and New York, 1969. Zbl0254.90049MR284206
  5. ADELMAN ( I.), ed., Practical Approaches to Development Planning, The John Hopkins Press, Baltimore, 1969. 
  6. ALBOUY ( M.), La régulation économique dans l'entreprise, Dunod, Paris, 1972. 
  7. AUSLENDER ( A.), Méthodes et Théorèmes de dualité, R.I.R.O., 4e année, n° R1, pages 9-45, 1970. Zbl0204.47603MR270778
  8. BRETON ( A.) et FALGARONE ( F.), Application de la commande optimale au problème du choix des investissements, Électricité de France, Études Économiques Générales, Note M 67, 1972. 
  9. DANTZIG ( G. B.), Application of Generalized Linear Programming to Control Theory, ch. XII, in : Nonlinear Programming, J. Abadie (ed.), North-Holland Publishing Company, Amsterdam, 1967. Zbl0178.22701MR223167
  10. FLETCHER ( R.) and REEVES ( C. M.), Function minimization by conjugate gradients, Computer Journal, vol. 7, pages 149-154, 1964. Zbl0132.11701MR187375
  11. JACOBSON ( D. H.) and LELE ( M. M.), A Transformation Technique for Optimal Control Problems with a State Variable Inequality Constraint, IEEE Trans. AC-14, vol. 5, pages 457-464, 1969. 
  12. KENDRICK ( D.) and TAYLOR ( L.), A Dynamic Nonlinear Planning Model for Korea, ch. 7, in : Practical Approaches to Development Planning, I. Adelman (ed.), The John Hopkins Press, Baltimore, 1969. 
  13. KENDRICK ( D.) and TAYLOR ( L.), Numerical Solutions of non-linear planning models, Econometrica, vol. 38, pages 453-467, 1970. 
  14. KUHN ( H. W.) and TUCKER ( A. W.), Nonlinear Programming, pages 481-492 in : Proceedings of the Second Berkeley Symposium, J. Neyman, ed., The University of California Press, Berkeley, 1951. Zbl0044.05903MR47303
  15. MEHRA ( R. K.) and DAVIS ( R. E.), A generalized gradient method for optimal control problems with inequality constraints and singular arcs, communication présentée à : Joint Automatic Control Conference, St. Louis, Missouri, 11-13 août 1971. Zbl0268.49038
  16. ROSEN ( J. B.), Optimal Control and Convex Programming, ch. XIII, in : Nonlinear Programming J. Abadie (ed.), North-Holland Publishing Company, Amsterdam, 1967. Zbl0183.22702MR218136
  17. TABAK ( D.) and KUO ( B. C.), Optimal Control by Mathematical Programming, Prentice Hall, Englewood Cliffs, 1971. MR398581
  18. ZADEH ( L. A.) and WHALEN ( B. H.), On Optimal Control and Linear Programming, IRE Trans. Automatic Control, AC.-7, pages 45-46, 1962. 

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