Reduced Basis Method and A Posteriori Error Estimation for Parametrized Linear-Quadratic Optimal Control Problems

Luca Dedè

doi:10.1137/090760453

Reduced Basis Method and A Posteriori Error Estimation for Parametrized Linear-Quadratic Optimal Control Problems

SIAM Journal on Scientific Computing ◽

10.1137/090760453 ◽

2010 ◽

Vol 32 (2) ◽

pp. 997-1019 ◽

Cited By ~ 23

Author(s):

Luca Dedè

Keyword(s):

Optimal Control Problems ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

Linear Quadratic ◽

Reduced Basis ◽

Linear Quadratic Optimal Control ◽

A Posteriori Error ◽

Quadratic Optimal Control ◽

Basis Method

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Model reduction techniques with a-posteriori error analysis for linear-quadratic optimal control problems

Numerical Algebra Control and Optimization ◽

10.3934/naco.2012.2.465 ◽

2012 ◽

Vol 2 (3) ◽

pp. 465-485 ◽

Cited By ~ 6

Author(s):

Georg Vossen ◽

Stefan Volkwein

Keyword(s):

Optimal Control Problems ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

Linear Quadratic ◽

Linear Quadratic Optimal Control ◽

A Posteriori Error ◽

Reduction Techniques ◽

Quadratic Optimal Control ◽

Posteriori Error Analysis

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POD a-posteriori error estimates for linear-quadratic optimal control problems

Computational Optimization and Applications ◽

10.1007/s10589-008-9224-3 ◽

2008 ◽

Vol 44 (1) ◽

pp. 83-115 ◽

Cited By ~ 76

Author(s):

F. Tröltzsch ◽

S. Volkwein

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

Linear Quadratic ◽

Linear Quadratic Optimal Control ◽

A Posteriori Error ◽

Quadratic Optimal Control

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A Posteriori Error Estimation for Control-Constrained, Linear-Quadratic Optimal Control Problems

SIAM Journal on Numerical Analysis ◽

10.1137/15m1020460 ◽

2016 ◽

Vol 54 (2) ◽

pp. 1169-1192 ◽

Cited By ~ 10

Author(s):

René Schneider ◽

Gerd Wachsmuth

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Linear Quadratic ◽

Linear Quadratic Optimal Control ◽

A Posteriori Error ◽

Quadratic Optimal Control

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Reduced basis a posteriori error bounds for parametrized linear-quadratic elliptic optimal control problems

Comptes Rendus Mathematique ◽

10.1016/j.crma.2011.07.010 ◽

2011 ◽

Vol 349 (15-16) ◽

pp. 873-877 ◽

Cited By ~ 19

Author(s):

Martin A. Grepl ◽

Mark Kärcher

Keyword(s):

Optimal Control Problems ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

Linear Quadratic ◽

Reduced Basis ◽

A Posteriori Error ◽

A Posteriori Error Bounds ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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A Certified Reduced Basis Approach for Parametrized Linear-Quadratic Optimal Control Problems with Control Constraints★

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2015.05.167 ◽

2015 ◽

Vol 48 (1) ◽

pp. 719-720 ◽

Cited By ~ 1

Author(s):

Eduard Bader ◽

Mark Kärcher ◽

Martin Grepl ◽

Karen Veroy-Grepl

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Control Constraints ◽

Linear Quadratic ◽

Reduced Basis ◽

Linear Quadratic Optimal Control ◽

Quadratic Optimal Control

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A Posteriori Error Estimates of Mixed Methods for Quadratic Optimal Control Problems Governed by Parabolic Equations

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2011.m1017 ◽

2011 ◽

Vol 4 (4) ◽

pp. 439-458 ◽

Cited By ~ 2

Author(s):

Tianliang Hou

Keyword(s):

Optimal Control ◽

Mixed Methods ◽

Parabolic Equations ◽

Optimal Control Problems ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Quadratic Optimal Control

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New a posteriori error estimates of mixed finite element methods for quadratic optimal control problems governed by semilinear parabolic equations with integral constraint

Boundary Value Problems ◽

10.1186/1687-2770-2013-230 ◽

2013 ◽

Vol 2013 (1) ◽

Author(s):

Zuliang Lu ◽

Shaohong Du ◽

Yuelong Tang

Keyword(s):

Parabolic Equations ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Quadratic Optimal Control ◽

Semilinear Parabolic

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Second Chebyshev wavelets (SCWs) method for solving finite-time fractional linear quadratic optimal control problems

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2021.05.017 ◽

2021 ◽

Author(s):

Omid Baghani

Keyword(s):

Optimal Control ◽

Finite Time ◽

Optimal Control Problems ◽

Control Problems ◽

Linear Quadratic ◽

Linear Quadratic Optimal Control ◽

Chebyshev Wavelets ◽

Quadratic Optimal Control

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An indirect pseudospectral method for the solution of linear-quadratic optimal control problems with infinite horizon

Optimization ◽

10.1080/02331934.2015.1014481 ◽

2015 ◽

Vol 65 (3) ◽

pp. 609-633 ◽

Cited By ~ 8

Author(s):

S. Pickenhain ◽

A. Burtchen ◽

K. Kolo ◽

V. Lykina

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Infinite Horizon ◽

Pseudospectral Method ◽

Control Problems ◽

Linear Quadratic ◽

Linear Quadratic Optimal Control ◽

Quadratic Optimal Control

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Well-posedness of stochastic Riccati equations and closed-loop solvability for stochastic linear quadratic optimal control problems

Journal of Differential Equations ◽

10.1016/j.jde.2019.01.008 ◽

2019 ◽

Vol 267 (1) ◽

pp. 180-227 ◽

Cited By ~ 2

Author(s):

Qi Lü

Keyword(s):

Optimal Control ◽

Closed Loop ◽

Optimal Control Problems ◽

Riccati Equations ◽

Control Problems ◽

Well Posedness ◽

Linear Quadratic ◽

Linear Quadratic Optimal Control ◽

Quadratic Optimal Control

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