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Schemes of Complete Averaging in the Problem of Optimal Control Over a Functional-Differential System

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For nonlinear controlled functional-differential systems, the possibility of applying of the method of averaging on a finite interval without the condition of constancy of the asymptotic control is proved and an algorithm for the construction of the corresponding controls over the original and averaged systems is proposed.

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Authors and Affiliations

  1. Mechnikov Odessa National University, Dvoryans’ka Str., 2, Odessa, 65026, Ukraine

    O. D. Kichmarenko

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  1. O. D. Kichmarenko
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Correspondence to O. D. Kichmarenko.

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Translated from Neliniini Kolyvannya, Vol. 21, No. 3, pp. 358–367, July–September, 2018.

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Kichmarenko, O.D. Schemes of Complete Averaging in the Problem of Optimal Control Over a Functional-Differential System. J Math Sci 243, 421–432 (2019). https://doi.org/10.1007/s10958-019-04548-8

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  • DOI: https://doi.org/10.1007/s10958-019-04548-8

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