Asymptotics of a Solution to an Optimal Boundary Control Problem

被引：8

作者：

Danilin, A. R. ^{[1
]}

Zorin, A. P. ^{[2
]}

机构：

[1] Russian Acad Sci, Ural Div, Inst Math & Mech, Ul S Kovalevskoi 16, Ekaterinburg 620990, Russia

[2] Ural State Pedag Univ, Pr Kosmonavtov 26, Ekaterinburg 620017, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2010年 / 269卷

基金：

俄罗斯基础研究基金会;

关键词：

singular problems; optimal control; boundary-value problems for systems of partial differential equations; asymptotic expansions;

D O I：

10.1134/S0081543810060088

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A problem of optimal boundary control of solutions to an elliptic-type equation with a small coefficient at the highest derivative and integral constraints on the control is considered. Asymptotic estimates for solutions to a problem that approximates the original problem are obtained.

引用

页码：S81 / S94

页数：14

共 50 条

[31] Asymptotic expansion of a solution to the problem of optimal control of a bounded flow at a boundary
Zorin, A. P.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2013, 19 (01): : 115 - 120
[32] Approximate solution to a time optimal boundary control problem for the wave equation
D. A. Ivanov
M. M. Potapov
Proceedings of the Steklov Institute of Mathematics, 2015, 291 : 102 - 117
[33] SOLUTION OF THE BOUNDARY-VALUE PROBLEM OF OPTIMAL CONTROL IN THE CRITICAL CASE
Panasenko, Y. V.
RADIO ELECTRONICS COMPUTER SCIENCE CONTROL, 2013, 2 : 77 - 80
[34] Asymptotics of the Solution to the Roben Problem for a Ring with Regularly Singular Boundary
D. A. Tursunov
M. O. Orozov
Lobachevskii Journal of Mathematics, 2020, 41 : 89 - 95
[35] Asymptotics of the Solution to the Roben Problem for a Ring with Regularly Singular Boundary
Tursunov, D. A.
Orozov, M. O.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2020, 41 (01) : 89 - 95
[36] ASYMPTOTICS OF SOLUTION OF DIRICHLET PROBLEM NEAR ISOLATED SINGULARITY OF A BOUNDARY
MAZJA, VG
PLAMENEVSKI, BA
VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA MATEMATIKA MEKHANIKA ASTRONOMIYA, 1977, (03): : 60 - 66
[37] On the boundary layer part of the asymptotics of the solution of a singularly perturbed boundary value problem
Zhumanazarova, Assiya
Cho, Young Im
PROCEEDINGS OF THE 2021 INTERNATIONAL CONFERENCE ON ARTIFICIAL LIFE AND ROBOTICS (ICAROB 2021), 2021, : P48 - P48
[38] Asymptotics of the Solution of Bisingularly Perturbed First Boundary Value Problem
Tursunov, D. A.
Kozhobekov, K. G.
Shoorukov, A. A.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2022, 43 (02) : 506 - 512
[39] Asymptotics of the Solution of Bisingularly Perturbed First Boundary Value Problem
D. A. Tursunov
K. G. Kozhobekov
A. A. Shoorukov
Lobachevskii Journal of Mathematics, 2022, 43 : 506 - 512
[40] Asymptotics of a Solution to an Optimal Control Problem with a Terminal Convex Performance Index and a Perturbation of the Initial Data
A. R. Danilin
O. O. Kovrizhnykh
Proceedings of the Steklov Institute of Mathematics, 2023, 323 : S85 - S97

← 1 2 3 4 5 →