Geometric Control Theory

Zusammenfassung Geometric control theory concerns the differential equations described by non-commuting vector fields. It builds ideas from the theory of differential systems and the calculus of variations into a cohesive mathematical framework applicable to a wide range of problems from differential geometry! applied mathematics! physics and engineering. 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.

Produktdetails

• Autoren: Velimir Jurdjevic, Velimir (University of Toronto) Jurdjevic
• Mitarbeit: Bela Bollobas (Herausgeber), W. Fulton (Herausgeber)
• Verlag: Cambridge University Press ELT
• Sprache: Englisch
• Produktform: Fester Einband
• Erschienen: 28.12.1996
• EAN: 9780521495028
• ISBN: 978-0-521-49502-8
• Seiten: 512
• Serie: Cambridge Studies in Advanced
• Thema: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Analysis