Geodesic
To the necessary optimality conditions in one two-stage control problem for integro-differential equations of Volterra type
Problemy fiziki, matematiki i tehniki, no. 2 (2024), pp. 84-89

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The paper considers one two-stage optimal control problem, described at different time intervals by various integro-differential equations of the Volterra type. Under different assumptions two types of formulas for the increment of the quality functional are constructed for these problems. Studying them on various control variations, the analogues of the maximum principle of L.S. Pontryagin and the linearized maximum condition are proved.
Keywords: two-stage control problem, integro-differential equation, admissible control, necessary optimality condition, optimal control.
Mots-clés : increment formula 
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K. B. Mansimov; A. F. Mansimzade. To the necessary optimality conditions in one two-stage control problem for integro-differential equations of Volterra type. Problemy fiziki, matematiki i tehniki, no. 2 (2024), pp. 84-89. http://geodesic.mathdoc.fr/item/PFMT_2024_2_a14/