Functional analysis, calculus of variations and optimal control
La 4e de couverture indique : "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-containe...
Enregistré dans:
| Hovedforfatter: | |
|---|---|
| Format: | Livre papier |
| Sprog: | Anglais |
| Udgivet: |
London :
Springer
C 2013.
|
| Serier: | Graduate texts in mathematics
264 |
| Fag: | |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Functional analysis, calculus of variations and optimal control, Francis Clarke, 1st ed. 2013., 20XX, London, Springer London, Graduate Texts in Mathematics, 978-1-447-14820-3 |
Indholdsfortegnelse:
- 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