Necessary Optimality Conditions for Singular Controls of Caputo Fractional Systems with Delay in Control

• Autores: Shakir Sh. Yusubov, Elimhan N. Mahmudov
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 2, 2025
• Idioma: inglés
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• Resumen

  • In this paper, we consider the optimal control of nonlinear systems of fractionalorder with control delay, where the fractional derivatives are expressed in the Caputo sense. For this problem, we first obtained the necessary first-order optimality condition in the form of the Pontryagin maximum principle. For a control that is singular in the sense of the Pontryagin maximum principle, a higher-order necessary optimality condition is obtained. Further, in one particular case, a multipoint necessary secondorder optimality condition is obtained. The effectiveness of the results obtained is illustrated by specific examples.