Optimal Control and Geometry: Integrable Systems
The synthesis of symplectic geometry, the calculus of variations and control theory offered in this book provides a crucial foundation for the understanding of many problems in applied mathematics. Focusing on the theory of integrable systems, this book introduces a class of optimal control problems on Lie groups, whose Hamiltonians, obtained through the Maximum Principle of optimality, shed new light on the theory of integrable systems. These Hamiltonians provide an original and unified account of the existing theory of integrable systems. The book particularly explains much of the mystery surrounding the Kepler problem, the Jacobi problem a…
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Produktdetails
- ISBN: 978-1-316-58705-8
- EAN: 9781316587058
- Produktnummer: 20329774
- Verlag: Cambridge University Press
- Sprache: Englisch
- Erscheinungsjahr: 2016
- Seitenangabe: 0 S.
- Plattform: PDF
- Masse: 2'762 KB
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