Functional analysis, calculus of variations and optimal control
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 o...
Zapisane w:
| 1. autor: | |
|---|---|
| Format: | Livre numérique |
| Język: | Anglais |
| Wydane: |
London :
Springer London
[20..].
Cham : Springer Nature |
| Wydanie: | 1st ed. 2013. |
| Seria: | Graduate Texts in Mathematics
264 |
| Hasła przedmiotowe: | |
| Dostęp online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Komentarz: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Functional analysis, calculus of variations and optimal control, Francis Clarke, 2013, London, Springer, 1 vol. (XIV-591 p.), Graduate texts in mathematics, 978-1-4471-4819-7 • Functional analysis, calculus of variations and optimal control, Francis Clarke, 2013, London, Springer, 1 vol. (XIV-591 p.), Graduate texts in mathematics, 978-1-4471-4819-7 • Functional Analysis, Calculus of Variations and Optimal Control, Texte imprimé, 9781447148210 • Functional analysis, calculus of variations and optimal control, Francis Clarke, 2013, London, Springer, 1 vol. (591 p.), Graduate texts in mathematics, 978-1-4471-6210-0 |
Spis treści:
- Normed Spaces Convex sets and functions Weak topologies Convex analysis Banach spaces Lebesgue spaces Hilbert spaces Additional exercises for Part I Optimization and multipliers Generalized gradients Proximal analysis Invariance and monotonicity Additional exercises for Part II The classical theory Nonsmooth extremals Absolutely continuous solutions The multiplier rule Nonsmooth Lagrangians Hamilton-Jacobi methods Additional exercises for Part III Multiple integrals Necessary conditions Existence and regularity Inductive methods Differential inclusions Additional exercises for Part IV
- Normed Spaces
- Convex sets and functions
- Weak topologies
- Convex analysis
- Banach spaces
- Lebesgue spaces
- Hilbert spaces
- Additional exercises for Part I
- Optimization and multipliers
- Generalized gradients
- Proximal analysis
- Invariance and monotonicity
- Additional exercises for Part II
- The classical theory
- Nonsmooth extremals
- Absolutely continuous solutions
- The multiplier rule
- Nonsmooth Lagrangians
- Hamilton-Jacobi methods
- Additional exercises for Part III
- Multiple integrals
- Necessary conditions
- Existence and regularity
- Inductive methods
- Differential inclusions
- Additional exercises for Part IV