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Optimal control and geometry = integ...

Jurdjevic, Velimir.

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Optimal control and geometry = integrable systems /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Optimal control and geometry/ Velimir Jurdjevic, University of Toronto.
Reminder of title:	integrable systems /
remainder title:	Optimal Control & Geometry: Integrable Systems
Author:	Jurdjevic, Velimir.
Published:	Cambridge :Cambridge University Press, : 2016.,
Description:	xx, 415 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 May 2016).
Subject:	Control theory. -
Online resource:	https://doi.org/10.1017/CBO9781316286852
ISBN:	9781316286852

Optimal control and geometry = integrable systems /
Jurdjevic, Velimir.

Optimal control and geometryintegrable systems /[electronic resource] :Optimal Control & Geometry: Integrable SystemsVelimir Jurdjevic, University of Toronto. - Cambridge :Cambridge University Press,2016. - xx, 415 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;154. - Cambridge studies in advanced mathematics ;154..

Title from publisher's bibliographic system (viewed on 05 May 2016).

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.

ISBN: 9781316286852Subjects--Topical Terms:

535880
Control theory.

LC Class. No.: QA402.3 / .J88 2016

Dewey Class. No.: 515.642

Optimal control and geometry = integrable systems /
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100 1 $a Jurdjevic, Velimir. $3 708462
245 1 0 $a Optimal control and geometry $h [electronic resource] : $b integrable systems / $c Velimir Jurdjevic, University of Toronto.
246 3 $a Optimal Control & Geometry: Integrable Systems
260 $a Cambridge : $b Cambridge University Press, $c 2016.
300 $a xx, 415 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 154
500 $a Title from publisher's bibliographic system (viewed on 05 May 2016).
520 $a 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.
650 0 $a Control theory. $3 535880
650 0 $a Geometry, Differential. $3 523835
650 0 $a Hamiltonian systems. $3 629810
650 0 $a Lie groups. $3 526114
650 0 $a Manifolds (Mathematics) $3 612607
830 0 $a Cambridge studies in advanced mathematics ; $v 154. $3 3470608
856 4 0 $u https://doi.org/10.1017/CBO9781316286852