On the existence of optimal and ε-optimal feedback controls for stochastic second grade fluids

被引：8

作者：

Cipriano, Fernanda ^{[1
,2
]}

Pereira, Diogo ^{[1
]}

机构：

[1] Univ Nova Lisboa, FCT, CMA, Lisbon, Portugal

[2] Univ Nova Lisboa, Fac Ciencias & Tecnol, Dept Matemat, Lisbon, Portugal

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 475卷 / 02期

关键词：

Feedback optimal control; epsilon-Optimal feedback control; Second grade fluids; Stochastic differential equation; EQUATIONS;

D O I：

10.1016/j.jmaa.2019.03.064

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article deals with a feedback optimal control problem for the stochastic second grade fluids. More precisely, we establish the existence of an optimal feedback control for the two-dimensional stochastic second grade fluids, with Navier-slip boundary conditions. In addition, using the Galerkin approximations, we show that the optimal cost can be approximated by a sequence of finite dimensional optimal costs, showing the existence of the so-called E optimal feedback control. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：1956 / 1977

页数：22

共 50 条

[41] Optimal programmed controls:: existence and approximation
Khrychëv, DA
SBORNIK MATHEMATICS, 2001, 192 (5-6) : 763 - 783
[42] Existence of optimal controls with discrete decisions
Carlson, Dean A.
CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH, 2025,
[43] ON THE EXISTENCE OF OPTIMAL PARTIALLY OBSERVED CONTROLS
ELLIOTT, RJ
KOHLMANN, M
APPLIED MATHEMATICS AND OPTIMIZATION, 1982, 9 (01): : 41 - 66
[44] EXISTENCE OF OPTIMAL CONTROLS FOR DIFFUSION EQUATION
WILSON, DA
RUBIO, JE
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1977, 22 (01) : 91 - 101
[45] UNIQUENESS FOR OPTIMAL CONTROL PROBLEMS OF TWO-DIMENSIONAL SECOND GRADE FLUIDS
Almeida, Adilson
Chemetov, Nikolai, V
Cipriano, Fernanda
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 2022 (22) : 1 - 12
[46] SOLVABILITY OF THE STATIONARY OPTIMAL CONTROL PROBLEM FOR MOTION EQUATIONS OF SECOND GRADE FLUIDS
Baranovskii, E. S.
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2012, 9 : 554 - 560
[47] ONE-DIMENSIONAL SWIMMERS IN VISCOUS FLUIDS: DYNAMICS, CONTROLLABILITY, AND EXISTENCE OF OPTIMAL CONTROLS
Dal Maso, Gianni
DeSimone, Antonio
Morandotti, Marco
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2015, 21 (01) : 190 - 216
[48] Asymptotic optimal feedback controls in stochastic dynamic two-machine flowshops
Sethi, SP
Zhou, XY
RECENT ADVANCES IN CONTROL AND OPTIMIZATION OF MANUFACTURING SYSTEMS, 1996, 214 : 147 - 180
[49] Existence of Markov controls and characterization of optimal Markov controls
Kurtz, TG
Stockbridge, RH
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1998, 36 (02) : 609 - 653
[50] Optimal and Sub-optimal Feedback Controls for Biogas Production
Haddon, Antoine
Ramirez, Hector
Rapaport, Alain
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2019, 183 (02) : 642 - 670

← 1 2 3 4 5 →