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 accoun…
Read More ↓Title Statements
- Full title :Optimal control and geometry : integrable systems / Velimir Jurdjevic, University of Toronto.
Summary
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 and the Kovalevskaya Top. It also reveals the ubiquitous presence of elastic curves in integrable systems up to the soliton solutions of the non-linear Schroedinger's equation. Containing a useful blend of theory and applications, this is an indispensable guide for graduates and researchers in many fields, from mathematical physics to space control.
Read More ↓Edition Statements
- Publication Date:2016
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge
- Language:eng
- Publication Date:2016
Notes
Title from publisher's bibliographic system (viewed on 05 May 2016).
The Physical Object
- Description:1 online resource (xx, 415 Seiten)
Edition Identifiers
- ISBN:9781316286852, 1316286851, 9781107113886, 1107113881
- DOI:10.1017/CBO9781316286852
- oclc:ocn967678173
- LC Classification:QA402.3
- Dewey Decimal:515/.642
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