An algorithm for optimal syntheses in control problems
Mirică, Stefan
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 5 (1971), p. 55-92 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1971-01-01
@article{M2AN_1971__5_2_55_0,
     author = {Miric\u a, Stefan},
     title = {An algorithm for optimal syntheses in control problems},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {5},
     year = {1971},
     pages = {55-92},
     mrnumber = {317543},
     zbl = {0228.49014},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_1971__5_2_55_0}
}

Mirică, Stefan. An algorithm for optimal syntheses in control problems. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 5 (1971) pp. 55-92. http://gdmltest.u-ga.fr/item/M2AN_1971__5_2_55_0/

[1] R. Ellman, Dynamic Programming, , Princeton, Univ. Press, 1957. | MR 90477 | Zbl 0077.13605

[2] L. D. Berkovitz, « Necessary Conditions for Optimal Stratégies in a Class ofDifferential Games and Control Problems », / . Siam on Contrat,vol. 5, 1, 1967, 1-24. | MR 209027 | Zbl 0156.10102

[3] L. D. Berkovitz, « Variational Methods in Problems of Coütrol and Programming », J. Math. Anal and AppL, 3 (1961), 145-169. | MR 139030 | Zbl 0100.31005

[4] V. G. Boltyanskii, « Mathematical Methodes of Optimal Controle », Izd. Nauka, Moscow, 1969 (Russian). | MR 353082

[5] V. G. Boltyanskii, « Sufficient Conditions for Optimaly and the Justification of the Dynamic Programming Method », J. Siam on Control, 4 (1966), 326-361. | MR 197205 | Zbl 0143.32004

[6] V. G. Boltyanskii, « An Example of Nonlinea Synthesis », Differentialnie Uraunenia, t.4, 1970, 644-649 (Russian). | MR 305203 | Zbl 0248.49006

[7] E. A. Coddington and N. Levinson , Theory of Ordinary Differential Equations , Mc Graw-Hill, N.Y. 1955. | MR 69338 | Zbl 0064.33002

[8] R. Issacs , Differential Games , Willey, N.Y., 1965.

[9] E. B. Lee and L. Markus, Foundations of Optimal Control Theory, Willey, N. Y., 1967. | MR 220537 | Zbl 0159.13201

[10] St. Mirica, « On the Admissible Synthesis in Optimal Control Theory and Differential Games », J. Siam on Control, 7, 2, 1969, 292-316. | MR 253760 | Zbl 0182.48502

[11] St. Mirica, An Admissible Synthesis for controle System on Differentiable Manifolds, Revue Française d'Informatique et de Recherche Opérationnelle, R-1, 1971, p. 73-104. | Numdam | MR 289183 | Zbl 0231.93017

[12] L. S. Pontryagin, Ordinary Differential Equations, Addison, Wesley, Reading, Palo Alto, 1962. | MR 140742 | Zbl 0112.05502