Geometric optimal control : theory, methods and examples
This book gives a comprehensive treatment of the fundamental necessary and sufficient conditions for optimality for finite-dimensional, deterministic, optimal control problems. The emphasis is on the geometric aspects of the theory and on illustrating how these methods can be used to solve optimal c...
Gardado en:
| Auteurs principaux: | , , |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Edición: | 1st ed. 2012. |
| Series: | Interdisciplinary Applied Mathematics
38 |
| Sujets: | |
| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Geometric optimal control, theory, methods and examples, Heinz Schättler, Urszula Ledzewicz, 2012, New York, Springer, 1 volume (XIX-640 pages), Interdisciplinary applied mathematics, 978-1-461-43833-5 • Geometric optimal control, theory, methods and examples, Heinz Schättler, Urszula Ledzewicz, 2012, New York, Springer, 1 volume (XIX-640 pages), Interdisciplinary applied mathematics, 978-1-461-43833-5 • Geometric Optimal Control, Texte imprimé, 9781461438359 • Geometric Optimal Control, Texte imprimé, 9781489986801 |
Table des matières:
- The Calculus of Variations: A Historical Perspective The Pontryagin Maximum Principle: From Necessary Conditions to the Construction of an Optimal Solution Reachable Sets of Linear Time-Invariant Systems: From Convex Sets to the Bang-Bang Theorem The High-Order Maximum Principle: From Approximations of Reachable Sets to High-Order Necessary Conditions for Optimality The Method of Characteristics: A Geometric Approach to Sufficient Conditions for a Local Minimum Synthesis of Optimal Controlled Trajectories: FromLocal to Global Solutions Control-Affine Systems in Low Dimensions: From Small-Time Reachable Sets to Time-Optimal Syntheses References Index
- The Calculus of Variations: A Historical Perspective
- The Pontryagin Maximum Principle: From Necessary Conditions to the Construction of an Optimal Solution
- Reachable Sets of Linear Time-Invariant Systems: From Convex Sets to the Bang-Bang Theorem
- The High-Order Maximum Principle: From Approximations of Reachable Sets to High-Order Necessary Conditions for Optimality
- The Method of Characteristics: A Geometric Approach to Sufficient Conditions for a Local Minimum
- Synthesis of Optimal Controlled Trajectories: FromLocal to Global Solutions
- Control-Affine Systems in Low Dimensions: From Small-Time Reachable Sets to Time-Optimal Syntheses
- References
- Index