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Averaging Method in Problems of Optimal Control over Impulsive Systems

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We apply the averaging method for the investigation of the problems of optimal control over impulsive systems. The procedure of averaging allows us to replace the original problem by the problem of optimal control over a system of ordinary differential equations. We prove that the optimal control over the averaged problem is almost optimal for the exact problem. Problems with finite and infinite horizons are investigated.

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Authors and Affiliations

  1. Kyiv National Trade and Economic University, Kyoto Str., 19, Kyiv, 02156, Ukraine

    T. V. Koval’chuk

  2. “Sikorsky Kyiv Polytechnic Institute” Ukrainian National Technical University, Peremohy Ave., 37, Kyiv, 03056, Ukraine

    V. V. Mohyl’ova

  3. T. Shevchenko Kyiv National University, Volodymyrs’ka Str., 64/13, Kyiv, 01033, Ukraine

    T. V. Shovkoplyas

Authors
  1. T. V. Koval’chuk
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  2. V. V. Mohyl’ova
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  3. T. V. Shovkoplyas
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Corresponding author

Correspondence to T. V. Shovkoplyas.

Additional information

Translated from Neliniini Kolyvannya, Vol. 22, No. 1, pp. 86–97, January–March, 2019.

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Koval’chuk, T.V., Mohyl’ova, V.V. & Shovkoplyas, T.V. Averaging Method in Problems of Optimal Control over Impulsive Systems. J Math Sci 247, 314–327 (2020). https://doi.org/10.1007/s10958-020-04804-2

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  • DOI: https://doi.org/10.1007/s10958-020-04804-2

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