Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems: Continuous and Approximation Theories - Couverture rigide

Livre 66 sur 188: Encyclopedia of Mathematics and its Applications

Lasiecka, Irena; Triggiani, Roberto

 
9780521434089: Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems: Continuous and Approximation Theories
Couverture rigide
ISBN 10 : 0521434084 ISBN 13 : 9780521434089
Editeur : Cambridge University Press, 2000

Synopsis

Originally published in 2000, this is the first 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 is unifying 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 1 includes the abstract parabolic theory for the finite and infinite cases and corresponding PDE illustrations as well as various abstract hyperbolic settings in the finite case. 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.

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Présentation de l'éditeur

Originally published in 2000, this is the first 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 is unifying 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 1 includes the abstract parabolic theory for the finite and infinite cases and corresponding PDE illustrations as well as various abstract hyperbolic settings in the finite case. 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 impressive volume is a superb achievement and will be a must for all those who are interested in the quadratic optimal control of parabolic PDEs and in general in the control of PDEs.' A. Akutowicz, Zentralblatt MATH

Review of the hardback: '... a comprehensive and up-to-date treatment ...'. European Maths Society Journal

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
2000
Langue
anglais
ISBN 10 
0521434084
ISBN 13 
9780521434089
Reliure
Relié
Nombre de pages
672
Coordonnées du fabricant
Cambridge University Press
https://www.cambridge.org/

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Autres éditions populaires du même titre

9780521155670: Control Theory for Partial Differential Equations: Continuous and Approximation Theories

Edition présentée

ISBN 10 :  0521155673 ISBN 13 :  9780521155670
Editeur : Cambridge University Press, 2006
Couverture souple