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Sprache:
Englisch
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Beschreibung
A modern version of the calculus of variations, encompassing geometric mechanics, differential geometry, and optimal control.
A modern version of the calculus of variations, encompassing geometric mechanics, differential geometry, and optimal control.
Inhaltsverzeichnis
Introduction; Acknowledgments; Part I. Reachable Sets and Controllability: 1. Basic formalism and typical problems; 2. Orbits of families of vector fields; 3. Reachable sets of Lie-determined systems; 4. Control affine systems; 5. Linear and polynomial control systems; 6. Systems on Lie groups and homogenous spaces; Part II. Optimal Control Theory: 7. Linear systems with quadratic costs; 8. The Riccati equation and quadratic systems; 9. Singular linear quadratic problems; 10. Time-optimal problems and Fuller's phenomenon; 11. The maximum principle; 12. Optimal problems on Lie groups; 13. Symmetry, integrability and the Hamilton-Jacobi theory; 14. Integrable Hamiltonian systems on Lie groups: the elastic problem, its non-Euclidean analogues and the rolling-sphere problem; References; Index.
Details
| Erscheinungsjahr: | 2007 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: | Kartoniert / Broschiert |
| ISBN-13: | 9780521058247 |
| ISBN-10: | 0521058244 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Jurdjevic, Velimir
Velimir, Jurdjevic |
| Hersteller: | Cambridge University Press |
| Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
| Maße: | 229 x 152 x 31 mm |
| Von/Mit: | Velimir Jurdjevic (u. a.) |
| Erscheinungsdatum: | 26.12.2007 |
| Gewicht: | 0,823 kg |