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Cover: 9780521058247 | Geometric Control Theory | Velimir Jurdjevic (u. a.) | Taschenbuch
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Geometric Control Theory
Taschenbuch von Velimir Jurdjevic (u. a.)
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: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521058247
ISBN-10: 0521058244
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Jurdjevic, Velimir
Velimir, Jurdjevic
Hersteller: Cambridge University Press
Maße: 229 x 152 x 30 mm
Von/Mit: Velimir Jurdjevic (u. a.)
Erscheinungsdatum: 26.12.2007
Gewicht: 0,823 kg
Artikel-ID: 101872895
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: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521058247
ISBN-10: 0521058244
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Jurdjevic, Velimir
Velimir, Jurdjevic
Hersteller: Cambridge University Press
Maße: 229 x 152 x 30 mm
Von/Mit: Velimir Jurdjevic (u. a.)
Erscheinungsdatum: 26.12.2007
Gewicht: 0,823 kg
Artikel-ID: 101872895
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