| Titre : | Functional analysis, calculus of variations and optimal control | | Type de document : | texte imprimé | | Auteurs : | Francis CLARKE, Auteur | | Editeur : | Londres : Springer-Verlag | | Année de publication : | Cop. 2013 | | Collection : | Graduate Texts in Mathematics num. 264 | | Importance : | XIV-591 p. | | ISBN/ISSN/EAN : | 978-1-4471-4819-7 | | Langues : | Anglais | | Catégories : | 46-01
49-01
49J52
49K15
90C30
| | Mots-clés : | analyse fonctionnelle calcul des variations contrôle optimal | | Résumé : | Functional analysis owes much of its early impetus to problems that arise in the calculus of variations. In turn, the methods developed there have been applied to optimal control, an area that also requires new tools, such as nonsmooth analysis. This self-contained textbook gives a complete course on all these topics. It is written by a leading specialist who is also a noted expositor.
This book provides a thorough introduction to functional analysis and includes many novel elements as well as the standard topics. A short course on nonsmooth analysis and geometry completes the first half of the book whilst the second half concerns the calculus of variations and optimal control. The author provides a comprehensive course on these subjects, from their inception through to the present. A notable feature is the inclusion of recent, unifying developments on regularity, multiplier rules, and the Pontryagin maximum principle, which appear here for the first time in a textbook. Other major themes include existence and Hamilton-Jacobi methods. | | Note de contenu : | index, références |
Functional analysis, calculus of variations and optimal control [texte imprimé] / Francis CLARKE, Auteur . - Londres : Springer-Verlag, Cop. 2013 . - XIV-591 p.. - ( Graduate Texts in Mathematics; 264) . ISBN : 978-1-4471-4819-7 Langues : Anglais | Catégories : | 46-01
49-01
49J52
49K15
90C30
| | Mots-clés : | analyse fonctionnelle calcul des variations contrôle optimal | | Résumé : | Functional analysis owes much of its early impetus to problems that arise in the calculus of variations. In turn, the methods developed there have been applied to optimal control, an area that also requires new tools, such as nonsmooth analysis. This self-contained textbook gives a complete course on all these topics. It is written by a leading specialist who is also a noted expositor.
This book provides a thorough introduction to functional analysis and includes many novel elements as well as the standard topics. A short course on nonsmooth analysis and geometry completes the first half of the book whilst the second half concerns the calculus of variations and optimal control. The author provides a comprehensive course on these subjects, from their inception through to the present. A notable feature is the inclusion of recent, unifying developments on regularity, multiplier rules, and the Pontryagin maximum principle, which appear here for the first time in a textbook. Other major themes include existence and Hamilton-Jacobi methods. | | Note de contenu : | index, références |
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