We study a linear (in control) system of dynamic equations on an infinite interval of time scale and establish sufficient conditions for the existence of optimal controls in terms of the right-hand sides of the system and a function contained in the quality criterion. The relationship between the solutions of the initial-value problem on the semiaxis and the corresponding problem on a finite interval of the time scale is analyzed.
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Translated from Neliniini Kolyvannya, Vol. 22, No. 4, pp. 482–496, October–December, 2019.
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Koval’chuk, T.V., Lavrova, O.E. & Mohyl’ova, V.V. Optimal Control for Some Classes of Dynamic Equations on the Infinite Interval of Time Scale. J Math Sci 254, 229–245 (2021). https://doi.org/10.1007/s10958-021-05300-x
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DOI: https://doi.org/10.1007/s10958-021-05300-x