Error Estimates for the Euler Discretization of an Optimal Control Problem with First-Order State Constraints

SIAM Journal on Numerical Analysis ◽

10.1137/140999621 ◽

2017 ◽

Vol 55 (2) ◽

pp. 445-471 ◽

Author(s):

J. Frédéric Bonnans ◽

Adriano Festa

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Error Estimates ◽

State Constraints ◽

First Order ◽

Euler Discretization ◽

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An interior point method for a parabolic optimal control problem with regularized pointwise state constraints

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.200610337 ◽

2007 ◽

Vol 87 (8-9) ◽

pp. 564-589 ◽

Author(s):

U. Prüfert ◽

F. Tröltzsch

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Interior Point ◽

Interior Point Method ◽

State Constraints ◽

Point Method ◽

Pointwise State Constraints ◽

Parabolic Optimal Control

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Abort landing in windshear: Optimal control problem with third-order state constraint and varied switching structure

Journal of Optimization Theory and Applications ◽

10.1007/bf02192298 ◽

1995 ◽

Vol 85 (1) ◽

pp. 21-57 ◽

Author(s):

P. Berkmann ◽

H. J. Pesch

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

State Constraint ◽

Third Order ◽

Abort Landing ◽

Switching Structure ◽

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On an Elliptic Optimal Control Problem with Pointwise Mixed Control-State Constraints

Lecture Notes in Economics and Mathematical Systems - Recent Advances in Optimization ◽

10.1007/3-540-28258-0_12 ◽

2006 ◽

pp. 187-204 ◽

Author(s):

Christian Meyer ◽

Fredi Tröltzsch

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

State Constraints ◽

Mixed Control ◽

Elliptic Optimal Control Problem ◽

Elliptic Optimal Control ◽

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THE CONTINUITY OF THE MEASURE LAGRANGE-MULTIPLIER FROM THE MAXIMUM PRINCIPLE FOR AN OPTIMAL CONTROL PROBLEM WITH EQUALITY AND INEQUALITY STATE CONSTRAINTS UNDER WEAK REGULARITY CONDITIONS OF THE EXTREMAL PROCESS

Tambov University Reports Series Natural and Technical Sciences ◽

10.20310/1810-0198-2016-21-1-28-39 ◽

2016 ◽

Vol 21 (1) ◽

pp. 28-39

Author(s):

A.V. Gorbacheva ◽

Keyword(s):

Optimal Control ◽

Maximum Principle ◽

Optimal Control Problem ◽

Control Problem ◽

Lagrange Multiplier ◽

State Constraints ◽

Regularity Conditions ◽

The Maximum Principle ◽

Extremal Process ◽

Inequality State

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The optimal control problem with state constraints for forward–backward stochastic systems with jumps

IMA Journal of Mathematical Control and Information ◽

10.1093/imamci/dnv053 ◽

2015 ◽

pp. dnv053

Author(s):

Qingmeng Wei

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

State Constraints ◽

Stochastic Systems

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First-Order System Least-Squares Methods for an Optimal Control Problem by the Stokes Flow

SIAM Journal on Numerical Analysis ◽

10.1137/070701157 ◽

2009 ◽

Vol 47 (2) ◽

pp. 1524-1545 ◽

Author(s):

Soorok Ryu ◽

Hyung-Chun Lee ◽

Sang Dong Kim

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Least Squares ◽

Stokes Flow ◽

Order System ◽

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A posteriori error estimates for an optimal control problem of laser surface hardening of steel

Advances in Computational Mathematics ◽

10.1007/s10444-011-9270-8 ◽

2011 ◽

Vol 39 (1) ◽

pp. 69-99 ◽

Author(s):

Nupur Gupta ◽

Neela Nataraj

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Error Estimates ◽

Surface Hardening ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Laser Surface ◽

A Posteriori ◽

A Posteriori Error

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Maximum principle in an optimal control problem with equality state constraints

Differential Equations ◽

10.1134/s0012266115010048 ◽

2015 ◽

Vol 51 (1) ◽

pp. 33-46 ◽

Author(s):

A. V. Arutyunov ◽

D. Yu. Karamzin

Keyword(s):

Optimal Control ◽

Maximum Principle ◽

Optimal Control Problem ◽

Control Problem ◽

State Constraints

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Interpolation coefficients mixed finite element methods and L^∞-error estimates for nonlinear optimal control problem

Journal of Mathematical Inequalities ◽

10.7153/jmi-2017-11-83 ◽

2017 ◽

pp. 1113-1129

Author(s):

Zuli ng Lu ◽

Shu ua Zhang ◽

Longz ou Cao ◽

Lin Li ◽

in Yang

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Control Problem ◽

Error Estimates ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Nonlinear Optimal Control ◽

Mixed Finite Element Methods ◽

Nonlinear Optimal Control Problem

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On boundary optimal control problem for an arterial system: First-order optimality conditions

Networks & Heterogeneous Media ◽

10.3934/nhm.2018027 ◽

2018 ◽

Vol 13 (4) ◽

pp. 585-607 ◽

Author(s):

Ciro D'Apice ◽

◽

Olha P. Kupenko ◽

Rosanna Manzo ◽

◽

...

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

Arterial System ◽

First Order ◽

First Order Optimality Conditions

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