An algorithm for optimal syntheses in control problems

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1. [1] R. ELLMAN, Dynamic Programming, , Princeton, Univ. Press, 1957. Zbl0077.13605MR90477
2. [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. Zbl0156.10102MR209027
3. [3] L. D. BERKOVITZ, « Variational Methods in Problems of Coütrol and Programming », J. Math. Anal and AppL, 3 (1961), 145-169. Zbl0100.31005MR139030
4. [4] V. G. BOLTYANSKII, « Mathematical Methodes of Optimal Controle », Izd. Nauka, Moscow, 1969 (Russian). Zbl0249.49010MR353082
5. [5] V. G. BOLTYANSKII, « Sufficient Conditions for Optimaly and the Justification of the Dynamic Programming Method », J. Siam on Control, 4 (1966), 326-361. Zbl0143.32004MR197205
6. [6] V. G. BOLTYANSKII, « An Example of Nonlinea Synthesis », Differentialnie Uraunenia, t.4, 1970, 644-649 (Russian). Zbl0248.49006MR305203
7. [7] E. A. CODDINGTON and N. LEVINSON , Theory of Ordinary Differential Equations , Mc Graw-Hill, N.Y. 1955. Zbl0064.33002MR69338
8. [8] R. ISSACS , Differential Games , Willey, N.Y., 1965. 
9. [9] E. B. LEE and L. MARKUS, Foundations of Optimal Control Theory, Willey, N. Y., 1967. Zbl0159.13201MR220537
10. [10] St. MIRICA, « On the Admissible Synthesis in Optimal Control Theory and Differential Games », J. Siam on Control, 7, 2, 1969, 292-316. Zbl0182.48502MR253760
11. [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. Zbl0231.93017MR289183
12. [12] L. S. PONTRYAGIN, Ordinary Differential Equations, Addison, Wesley, Reading, Palo Alto, 1962. Zbl0112.05502MR140742