Free Access
Volume 5, 2000
Page(s) 279 - 292
Published online 15 August 2002
  1. V.M. Alexeev, V.M. Tikhomirov and S.V. Fomin, Commande optimale, French translation. Mir, Moscow (1982).
  2. K.J. Arrow, Applications of Control Theory to Economic Growth. Math. of the Decision Sciences, edited by G.B. Dantzig and A.F. Veinott Jr. (1968).
  3. J. Blot and P. Cartigny, Optimality in Infinite-Horizon Problems under Signs Conditions. J. Optim. Theory Appl. (to appear).
  4. J. Blot and N. Hayek, Second-Order Necessary Conditions for the Infinite-Horizon Variational Problems. Math. Oper. Res. 21 (1996) 979-990. [CrossRef] [MathSciNet]
  5. J. Blot and Ph. Michel, First-Order Necessary Conditions for the Infinite-Horizon Variational Problems. J. Optim. Theory Appl. 88 (1996) 339-364. [CrossRef] [MathSciNet]
  6. N. Bourbaki, Fonctions d'une variable réelle. Hermann, Paris (1976).
  7. D.A. Carlson, A.B. Haurie and A. Leizarowitz, Infinite Horizon Optimal Control, Deterministic and Stochastic Systems, Second Edition. Springer-Verlag, Berlin (1991).
  8. H. Cartan, Calcul Différentiel. Hermann, Paris (1967).
  9. L. Cesari, Optimization Theory and Applications: Problems with Ordinary Differential Equations. Springer-Verlag, New York (1983).
  10. J. Dugundji, Topology. Allyn and Bacon, Boston (1966).
  11. G.E. Ewing, Calculus of Variations, with Applications. Dover Pub. Inc., New York (1985).
  12. W.H. Fleming and R. Rishel, Deterministic and Stochastic Optimal Control. Springer-Verlag, New York (1975).
  13. W.H. Fleming and H.M. Soner, Controlled Markov Processes and Viscosity Solutions. Springer-Verlag, New York (1993).
  14. M. Giaquinta and S. Hildebrandt, Calculus of Variations I. Springer-Verlag, Berlin (1996).
  15. C. Godbillon, Éléments de topologie algébrique. Hermann, Paris (1971).
  16. R.F. Hartl, S.P. Sethi and R.G. Vickson, A Survey of the Maximum Principles for Optimal Control Problems with State Constraints. SIAM Rev. 37 (1995) 181-218. [CrossRef] [MathSciNet]
  17. M.H. Hestenes, Calculus of Variations and Optimal Control Theory. Robert E. Krieger Publ. Comp., Huntington, N.Y. (1980).
  18. G. Leitman and H. Stalford, A Sufficiency Theorem for Optimal Control. J. Optim. Theory Appl. VIII (1971) 169-174.
  19. D. Leonard and N.V. Long, Optimal Control Theory and Static Optimization in Economics. Cambridge University Press, New York (1992).
  20. O.L. Mangasarian, Sufficient Conditions for the Optimal Control of Nonlinear Systems. SIAM J. Control IV (1966) 139-152.
  21. Z. Nehari, Sufficient Conditions in the Calculus of Variations and in the Theory of Optimal Control. Proc. Amer. Math. Soc. 39 (1973) 535-539. [CrossRef] [MathSciNet]
  22. L. Pontryagin, V. Boltyanskii, R. Gramkrelidze and E. Mitchenko, Théorie Mathématique des Processus Optimaux, French Edition. Mir, Moscow (1974).
  23. H. Sagan, Introduction to the Calculus of Variations. McGraw-Hill, New York (1969).
  24. Th. Sargent, Macroeconomic Theory, Second Edition. Academic Press, New York (1986).
  25. A. Seierstad and K. Sydsaeter, Sufficient Conditions in Optimal Control Theory, Internat. Econom. Rev. 18 (1977).
  26. L. Schwartz, Cours d'Analyse de l'École Polytechnique, Tome 1. Hermann, Paris (1967).
  27. L. Schwartz, Topologie Générale et Analyse Fonctionnelle. Hermann, Paris (1970).
  28. G. Sorger, Sufficient Conditions for Nonconvex Control Problems with State Constraints. J. Optim. Theory Appl. 62 (1989) 289-310. [CrossRef] [MathSciNet]
  29. J.L. Troutman, Variational Calculus with Elementary Convexity. Springer-Verlag, New York (1983).
  30. V. Zeidan, First and Second Order Sufficient Conditions for Optimal Control and Calculus of Variations. Appl. Math. Optim. 11 (1984) 209-226. [CrossRef] [MathSciNet]
  31. A.J. Zaslavski, Existence and Structure of Optimal Solutions of Variational Problems, Recent Developments in Optimization Theory and Nonlinear Analysis, edited by Y. Censor and S. Reich. Amer. Math. Soc. Providence, Rhode Island (1997) 247-278.

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.