Optimal Control and Geometry: Integrable Systems

Optimal Control and Geometry: Integrable Systems
Author :
Publisher : Cambridge University Press
Total Pages : 437
Release :
ISBN-10 : 9781316586334
ISBN-13 : 1316586332
Rating : 4/5 (34 Downloads)

Book Synopsis Optimal Control and Geometry: Integrable Systems by : Velimir Jurdjevic

Download or read book Optimal Control and Geometry: Integrable Systems written by Velimir Jurdjevic and published by Cambridge University Press. This book was released on 2016-07-04 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Optimal Control and Geometry: Integrable Systems Related Books

Optimal Control and Geometry: Integrable Systems
Language: en
Pages: 437
Authors: Velimir Jurdjevic
Categories: Mathematics
Type: BOOK - Published: 2016-07-04 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

The synthesis of symplectic geometry, the calculus of variations and control theory offered in this book provides a crucial foundation for the understanding of
Control Theory and Optimization I
Language: en
Pages: 296
Authors: M.I. Zelikin
Categories: Mathematics
Type: BOOK - Published: 2013-03-14 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The only monograph on the topic, this book concerns geometric methods in the theory of differential equations with quadratic right-hand sides, closely related t
A Comprehensive Introduction to Sub-Riemannian Geometry
Language: en
Pages: 765
Authors: Andrei Agrachev
Categories: Mathematics
Type: BOOK - Published: 2019-10-31 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

Provides a comprehensive and self-contained introduction to sub-Riemannian geometry and its applications. For graduate students and researchers.
CONTROLO 2020
Language: en
Pages: 810
Authors: José Alexandre Gonçalves
Categories: Technology & Engineering
Type: BOOK - Published: 2020-09-08 - Publisher: Springer Nature

DOWNLOAD EBOOK

This book offers a timely and comprehensive snapshot of research and developments in the field of control engineering. Covering a wide range of theoretical and
Practical Methods for Optimal Control and Estimation Using Nonlinear Programming
Language: en
Pages: 442
Authors: John T. Betts
Categories: Mathematics
Type: BOOK - Published: 2010-01-01 - Publisher: SIAM

DOWNLOAD EBOOK

A focused presentation of how sparse optimization methods can be used to solve optimal control and estimation problems.