State Constrained Optimal Control Problems: Regularization and Discretization - Couverture souple

Cherednichenko, Svetlana

 
9783639147179: State Constrained Optimal Control Problems: Regularization and Discretization
Couverture souple
ISBN 10 : 3639147170 ISBN 13 : 9783639147179
Editeur : VDM Verlag, 2009

Synopsis

In recent years the interest in using mathematical models for describing technological processes has been growing in different branches of economy. Often, these models involve partial differential equations, where technical restrictions are expressed as inequality constraints. This work deals with constrained optimal control problems governed by partial differential equations. Solutions of such problems are usually approximated by sophisticated numerical methods, which require a discretization of the problem. In order to solve the discrete optimal control problem accurately, solutions should be validated by error estimates. Thus, efficient error estimates are crucial issues, since the reliability of numerical results can be expressed by corresponding convergence rates. Although theoretical and numerical foundations for control constrained problems are well studied, dealing with pure state constraints delivers certain difficulties on the analytical and computational sides. The work is addressed to mathematicians and engineers, working with constrained optimal control problems, in order to validate their numerical results and to find reasonable discretization.

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Présentation de l'éditeur

In recent years the interest in using mathematical models for describing technological processes has been growing in different branches of economy. Often, these models involve partial differential equations, where technical restrictions are expressed as inequality constraints. This work deals with constrained optimal control problems governed by partial differential equations. Solutions of such problems are usually approximated by sophisticated numerical methods, which require a discretization of the problem. In order to solve the discrete optimal control problem accurately, solutions should be validated by error estimates. Thus, efficient error estimates are crucial issues, since the reliability of numerical results can be expressed by corresponding convergence rates. Although theoretical and numerical foundations for control constrained problems are well studied, dealing with pure state constraints delivers certain difficulties on the analytical and computational sides. The work is addressed to mathematicians and engineers, working with constrained optimal control problems, in order to validate their numerical results and to find reasonable discretization.

Biographie de l'auteur

Doctoral Programme of Engineering Sciences: Studied Applied Mathematics at Johannes Kepler University of Linz, Austria.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
VDM Verlag
Date d'édition
2009
Langue
anglais
ISBN 10 
3639147170
ISBN 13 
9783639147179
Reliure
Broché
Nombre de pages
120
Coordonnées du fabricant
non disponible
Personne responsable
non disponible