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Optimal control and geometry = integ...

Jurdjevic, Velimir.

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Optimal control and geometry = integrable systems /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Optimal control and geometry/ Velimir Jurdjevic, University of Toronto.
其他題名:	integrable systems /
其他題名:	Optimal Control & Geometry: Integrable Systems
作者:	Jurdjevic, Velimir.
出版者:	Cambridge :Cambridge University Press, : 2016.,
面頁冊數:	xx, 415 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 May 2016).
標題:	Control theory. -
電子資源:	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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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.
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