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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2024 Volume 234, Pages 3–10 (Mi into1286)

On a discrete two-parameter fractional control problem

S. T. Aliyevaab, K. B. Mansimovab

a Baku State University
b Institute of Control Systems, National Academy of Sciences of Azerbaijan, Baku

Abstract: In this paper, we examine a fractional difference analog of an optimal control problem occupying an intermediate position between problems with lumped and distributed parameters and obtain various first-order optimality necessary conditions.

Keywords: two-parameter discrete problem, admissible control, two-parameter fractional system, optimal control

UDC: 519.21:517.977

MSC: 39A50, 49K05

DOI: 10.36535/2782-4438-2024-234-3-10



© Steklov Math. Inst. of RAS, 2024