Optimal Control Problem for a Degenerate Fractional Differential Equation
Rovshan A. BandaliyevInstitute of Mathematics and Mechanics of Azerbaijan National Academy of Sciences, Baku, AzerbaijanIlgar G. MamedovInstitute of Control Systems of Azerbaijan National Academy of Sciences, Baku, AzerbaijanA. B. AbdullayevaInstitute of Mathematics and Mechanics of Azerbaijan National Academy of Sciences, Baku, AzerbaijanK. H. SafarovaInstitute of Mathematics and Mechanics of Azerbaijan National Academy of Sciences, Baku, Azerbaijan
2021en
ABI
Аннотация
In this paper, on the base of Pontryagin maximum principle, the optimal control problem with concentrated parameters for a degenerate differential equation with the Caputo operator and with coefficients from the Lebesgue space is studied. The efficiency indicator of the considered optimal control problem has an integral form of fractional order. A new version of the method of increments is applied and the concept of a conjugate equation with an integral form is essentially used.
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