Notice bibliographique
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Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Barbu, Viorel (1941-....)
Titre(s) : Controllability and stabilization of parabolic equations [Texte électronique] / Viorel Barbu,...
Publication : Cham : Birkhäuser, copyright 2018
Description matérielle : 1 ressource dématérialisée
Collection : Progress in nonlinear differential equations and their applications, ISSN 1421-1750 ; volume 90
Lien à la collection : Progress in nonlinear differential equations and their applications (Online)
Note(s) : Bibliogr. p. 221-224
This monograph presents controllability and stabilization methods in control theory
that solve parabolic boundary value problems. Starting from foundational questions
on Carleman inequalities for linear parabolic equations, the author addresses the
controllability of parabolic equations on a variety of domains and the spectral decomposition
technique for representing them. This method is, in fact, designed for use in a wider
class of parabolic systems that include the heat and diffusion equations. Later chapters
develop another process that employs stabilizing feedback controllers with a finite
number of unstable modes, with special attention given to its use in the boundary
stabilization of Navier-Stokes equations for the motion of viscous fluid. In turn,
these applied methods are used to explore related topics like the exact controllability
of stochastic parabolic equations with linear multiplicative noise. Intended for graduate
students and researchers working on control problems involving nonlinear differential
equations, Controllability and Stabilization of Parabolic Equations is the distillation
of years of lectures and research. With a minimum of preliminaries, the book leaps
into its applications for control theory with both concrete examples and accessible
solutions to problems in stabilization and controllability that are still areas of
current research
La pagination de l'édition imprimée correspondante est de : X-226 p.
Sujet(s) : Commande, Théorie de la
Équations différentielles paraboliques
Indice(s) Dewey : 515.353 (23e éd.) = Équations différentielles partielles
Identifiants, prix et caractéristiques : ISBN 9783319766669. - ISBN 331976666X. - ISBN 9783319766652 (erroné)
Identifiant de la notice : ark:/12148/cb45779682t
Notice n° :
FRBNF45779682
(notice reprise d'un réservoir extérieur)
Table des matières : Preface ; Acronyms ; Preliminaries ; The Carleman Inequality for Linear Parabolic Equations ; Exact Controllability of Parabolic Equations ; Internal Controllability of Parabolic Equations with Inputs in Coefficients ; Feedback Stabilization of Semilinear Parabolic Equations ; Boundary Stabilization of Navier-Stokes Equations ; Index.
