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Optimal Control Over Systems of Functional-Differential Equations With Infinite Delay

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Ukrainian Mathematical Journal Aims and scope

We consider the optimal control problem for systems with infinite memory whose models are described by functional-differential equations. We prove the theorem on existence, uniqueness, and continuity of solutions for a system of functional-differential equations in which the delay interval is infinitely large. Sufficient conditions for the existence of optimal controls in the optimal control problems for systems with infinite memory are obtained in terms of the right-hand sides of the equations of motion and the function of performance criterion.

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Authors and Affiliations

  1. T. Shevchenko Kyiv National University, Kyiv, Ukraine

    O. M. Stanzhytskyi

  2. I. Mechnikov Odessa National University, Odessa, Ukraine

    O. D. Kichmarenko

  3. “I. Sikorsky Kyiv Polytechnic Institute” Ukrainian National Technical University, Kyiv, Ukraine

    V. V. Mogylova

  4. State University of Trade and Economics, Kyiv, Ukraine

    T. V. Koval’chuk

Authors
  1. O. M. Stanzhytskyi
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  2. O. D. Kichmarenko
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  3. V. V. Mogylova
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  4. T. V. Koval’chuk
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Corresponding author

Correspondence to O. M. Stanzhytskyi.

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 75, No. 1, pp. 138–152, January, 2023. Ukrainian DOI: https://doi.org/10.37863/umzh.v75i1.7365.

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Stanzhytskyi, O.M., Kichmarenko, O.D., Mogylova, V.V. et al. Optimal Control Over Systems of Functional-Differential Equations With Infinite Delay. Ukr Math J 75, 157–173 (2023). https://doi.org/10.1007/s11253-023-02191-w

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  • DOI: https://doi.org/10.1007/s11253-023-02191-w

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