Approximate Optimal Control for a Parabolic System with Perturbations in the Coefficients on the Half-Axis

被引：6

作者：

Kapustian, Olena A. ^{[1
,2
]}

Kapustyan, Oleksiy, V ^{[3
]}

Ryzhov, Anton ^{[3
]}

Sobchuk, Valentyn ^{[3
]}

机构：

[1] Taras Shevchenko Natl Univ Kyiv, Fac Comp Sci & Cybernet, 4D Academician Glushkov Ave, UA-03127 Kiev, Ukraine

[2] Univ Aquila, Dipartimento Ingn & Sci Informaz & Matemat, Edificio Renato Ricamo Coppito 1,Via Vetoio, I-67100 Laquila, Italy

[3] Taras Shevchenko Natl Univ Kyiv, Fac Mech & Math, 4E Academician Glushkov Ave, UA-03127 Kiev, Ukraine

来源：

AXIOMS | 2022年 / 11卷 / 04期

关键词：

parabolic system; optimal control; averaging method; approximate solution; EQUATIONS; STABILITY;

D O I：

10.3390/axioms11040175

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we use the averaging method to find an approximate solution in the optimal control problem of a parabolic system with non-linearity of the form f (t/epsilon, y) on an infinite time interval.

引用

页数：10

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