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Optimal control and geometry : integrable systems

Author: Velimir Jurdjevic
Publisher: Cambridge : Cambridge University Press, 2016.
Series: Cambridge studies in advanced mathematics, 154.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Blending control theory, mechanics, geometry and the calculus of variations, this book is a vital resource for graduates and researchers in engineering, mathematics and physics.

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Document Type: Book
All Authors / Contributors: Velimir Jurdjevic
ISBN: 9781107113886 1107113881
OCLC Number: 928777822
Description: xx, 415 pages ; 23 cm.
Contents: 1. The orbit theorem and Lie determined systems; 2. Control systems. Accessibility and controllability; 3. Lie groups and homogeneous spaces; 4. Symplectic manifolds. Hamiltonian vector fields; 5. Poisson manifolds, Lie algebras and coadjoint orbits; 6. Hamiltonians and optimality: the Maximum Principle; 7. Hamiltonian view of classic geometry; 8. Symmetric spaces and sub-Riemannian problems; 9. Affine problems on symmetric spaces; 10. Cotangent bundles as coadjoint orbits; 11. Elliptic geodesic problem on the sphere; 12. Rigid body and its generalizations; 13. Affine Hamiltonians on space forms; 14. Kowalewski-Lyapunov criteria; 15. Kirchhoff-Kowalewski equation; 16. Elastic problems on symmetric spaces: Delauney-Dubins problem; 17. Non-linear Schroedinger's equation and Heisenberg's magnetic equation. Solitons.
Series Title: Cambridge studies in advanced mathematics, 154.
Responsibility: Velimir Jurdjevic, University of Toronto.

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