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Control Theory for Partial Differential Equations: Continuous and Approximation Theories - Couverture souple

Livre 67 sur 188: Encyclopedia of Mathematics and its Applications

Lasiecka, Irena

 
9780521155687: Control Theory for Partial Differential Equations: Continuous and Approximation Theories
Couverture souple
ISBN 10 : 0521155681 ISBN 13 : 9780521155687
Editeur : Cambridge University Press, 2011

Synopsis

Originally published in 2000, this is the second volume of a comprehensive two-volume treatment of quadratic optimal control theory for partial differential equations over a finite or infinite time horizon, and related differential (integral) and algebraic Riccati equations. Both continuous theory and numerical approximation theory are included. The authors use an abstract space, operator theoretic approach, which is based on semigroups methods, and which unifies across a few basic classes of evolution. The various abstract frameworks are motivated by, and ultimately directed to, partial differential equations with boundary/point control. Volume 2 is focused on the optimal control problem over a finite time interval for hyperbolic dynamical systems. A few abstract models are considered, each motivated by a particular canonical hyperbolic dynamics. It presents numerous fascinating results. These volumes will appeal to graduate students and researchers in pure and applied mathematics and theoretical engineering with an interest in optimal control problems.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Originally published in 2000, this is the second volume of a comprehensive two-volume treatment of quadratic optimal control theory for partial differential equations over a finite or infinite time horizon, and related differential (integral) and algebraic Riccati equations. Both continuous theory and numerical approximation theory are included. The authors use an abstract space, operator theoretic approach, which is based on semigroups methods, and which unifies across a few basic classes of evolution. The various abstract frameworks are motivated by, and ultimately directed to, partial differential equations with boundary/point control. Volume 2 is focused on the optimal control problem over a finite time interval for hyperbolic dynamical systems. A few abstract models are considered, each motivated by a particular canonical hyperbolic dynamics. It presents numerous fascinating results. These volumes will appeal to graduate students and researchers in pure and applied mathematics and theoretical engineering with an interest in optimal control problems.

Revue de presse

Review of the hardback: 'This excellent work will be a key reference for all of those who are interested in the quadratic optimal control of hyperbolic partial differential equations (PDEs) and in general in the control of PDEs.' A. Akutowicz, Zentralblatt für Mathematik

Review of the hardback: 'The reader will find much important information on various aspects of semigroup theory and on the regularity of solutions of hyperbolic equations.' EMS Newsletter

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

Éditeur
Cambridge University Press
Date d'édition
2011
Langue
anglais
ISBN 10 
0521155681
ISBN 13 
9780521155687
Reliure
Broché
Nombre de pages
452
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

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