An optimal control problem for an infinite system of ternary differential equations
Gafurjan IbragimovRomanovsky Institute of Mathematics of the Academy of Sciences of the Republic of UzbekistanAkbarjon MuxammadjonovRomanovsky Institute of Mathematics of the Academy of Sciences of the Republic of UzbekistanXolmurodjon Qo’shaqovAndijan State UniversityМассимилиано ФеррараUniversita degli Studi Mediterranea di Reggio Calabria Dipartimento di Giurisprudenza Economia e Scienze Umane
2025
ABI
Abstract
This work is devoted to study an optimal control problem described by an infinite system of ternary differential equations in the Hilbert space l 2 . An integral constraint is imposed on the control function. We aim to steer the state of the system from the given initial point to the origin of the space l 2 for the shortest time. We find an equation for the optimal time, and construct an optimal control.
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