Optimal control as a regularization method for ill-posed problems

DOI10.1515/156939406779802022zbMath1118.65052OpenAlexW2031970015MaRDI QIDQ3431311

Stefan Kindermann, Carmeliza Navasca

Publication date: 10 April 2007

Published in: Journal of Inverse and Ill-posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/156939406779802022

zbMATH Keywords

convergenceheat equationerror estimatesCauchy problemnumerical examplesHilbert spacesevolution equationsdynamic approachRiccati solver

Mathematics Subject Classification ID

Heat equation (35K05) Ill-posed problems for PDEs (35R25) Numerical solutions to equations with linear operators (65J10) Existence theories for problems in abstract spaces (49J27) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)

Cites Work

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• Nonlinear total variation based noise removal algorithms
• The Linear Regulator Problem for Parabolic Systems
• A Numerical Algorithm for Optimal Feedback Gains in High Dimensional Linear Quadratic Regulator Problems
• The Riccati Integral Equations for Optimal Control Problems on Hilbert Spaces
• A Cyclic Low-Rank Smith Method for Large Sparse Lyapunov Equations
• Low Rank Solution of Lyapunov Equations
• A Multilevel Technique for the Approximate Solution of Operator Lyapunov and Algebraic Riccati Equations
• Mathematical control theory: an introduction

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