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The asymptotic solution of an optimal-control problem

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Literature cited

  1. V. G. Boltyanskii, Mathematical Methods of Optimal Control [in Russian], Nauka, Moscow (1966).

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  2. R. Bellman, I. Glicksberg, and O. Gross, Some Questions Concerning the Mathematical Theory of Control Processes [Russian translation], IL, Moscow (1972).

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  3. L. Schwarz, Analysis [Russian translation], Vol. 2, Mir, Moscow (1972).

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  4. A. A. Abramov, “Translation of boundary conditions for systems of ordinary linear differential equations,” Zh. Vychisl. Mat. Fiz.,1, No. 3 (1961).

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  6. L. Cesari, The Asymptotic Behavior and Stability of Solutions of Ordinary Differential Equations [Russian translation], Mir, Moscow (1964).

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  7. O. Perron, “Über lineare Differentialgleichungen, bei denen die unabhängige Variable reell ist,” (3), J. Reine und Angew. Math.,142, 254–270 (1913);143, 29–50 (1913).

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Authors and Affiliations

  1. Central Computing Center Scientific-Research Institute, State Planning Commission of the Ukrainian SSR, Ukraine

    A. P. Velikii & V. S. Korolyuk

  2. Mathematics Institute, Academy of Sciences of the Ukrainian SSR, Ukraine

    A. P. Velikii & V. S. Korolyuk

Authors
  1. A. P. Velikii
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  2. V. S. Korolyuk
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 27, No. 3. pp. 364–368, May–June, 1975.

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Velikii, A.P., Korolyuk, V.S. The asymptotic solution of an optimal-control problem. Ukr Math J 27, 293–296 (1975). https://doi.org/10.1007/BF01092087

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  • DOI: https://doi.org/10.1007/BF01092087

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