Elementary feedback stabilization of the linear reaction-convection-diffusion equation and the wave equation / Weijiu Liu

Auteur: Liu, Weijiu - AuteurType de document: MonographieCollection: Mathématiques et applications ; 66Langue: anglaisPays: AllemagneÉditeur: Berlin : Springer-Verlag, 2010Description: 1 vol. (X-294 p.) ; 24 cm ISBN: 9783642046124 ; br. Résumé: This book addresses the feedback stabilization of the linear reaction-convection-diffusion equation and the linear wave equation. Both interior and boundary control problems are discussed. Methods employed to handle the problems include the eigenfunction expansion, integral transform, perturbed energy method, and optimal control technique. These powerful methods are frequently used for solving control problems of partial differential equations. Unlike the existing advanced control theory books written in an abstract setting, this book presents control theory by means of concrete examples. Therefore, this book is easy to read. Once readers learn about the ideas and methods from these concrete control examples, they can apply them to solve other control problems of partial differential equations. (Source : 4ème de couverture).Bibliographie: Bibliogr. p. 287-292. Notes bibliographiques en fin de chapitres. Index. Sujets MSC: 93-02 Systems theory; control -- Research exposition (monographs, survey articles)
35Q93 Partial differential equations -- Equations of mathematical physics and other areas of application -- PDEs in connection with control and optimization
35-00 Partial differential equations -- General reference works (handbooks, dictionaries, bibliographies, etc.)
93D15 Systems theory; control -- Stability -- Stabilization of systems by feedback
49-02 Calculus of variations and optimal control; optimization -- Research exposition (monographs, survey articles)
En-ligne: Springerlink
Location Call Number Status Date Due
Couloir 07055-01 / Séries SMA (Browse Shelf) Available

Bibliogr. p. 287-292. Notes bibliographiques en fin de chapitres. Index

This book addresses the feedback stabilization of the linear reaction-convection-diffusion equation and the linear wave equation. Both interior and boundary control problems are discussed. Methods employed to handle the problems include the eigenfunction expansion, integral transform, perturbed energy method, and optimal control technique. These powerful methods are frequently used for solving control problems of partial differential equations. Unlike the existing advanced control theory books written in an abstract setting, this book presents control theory by means of concrete examples. Therefore, this book is easy to read. Once readers learn about the ideas and methods from these concrete control examples, they can apply them to solve other control problems of partial differential equations. (Source : 4ème de couverture)

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