Optimal Control Problem for a Degenerate Fractional Differential Equation

被引：7

作者：

Bandaliyev, R. A. ^{[1
,2
]}

Mamedov, I. G. ^{[3
]}

Abdullayeva, A. B. ^{[1
]}

Safarova, K. H. ^{[1
]}

机构：

[1] Azerbaijan Natl Acad Sci, Inst Math & Mech, Baku, Azerbaijan

[2] RUDN Univ, SM Nikolskii Inst Math, Moscow 117198, Russia

[3] Azerbaijan Natl Acad Sci, Inst Control Syst, Baku, Azerbaijan

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2021年 / 42卷 / 06期

关键词：

degenerate fractional optimal control problem; initial value problem; Caputo fractional derivative; Lebesgue spaces; Pontryagin's maximum principle; EXISTENCE;

D O I：

10.1134/S1995080221060056

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1239 / 1247

页数：9

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