Geometric Control Theory - Couverture souple

Jurdjevic, Velimir

 
9780521058247: Geometric Control Theory
Couverture souple
ISBN 10 : 0521058244 ISBN 13 : 9780521058247
Editeur : Cambridge University Press, 2008

Synopsis

Geometric control theory is concerned with the evolution of systems subject to physical laws but having some degree of freedom through which motion is to be controlled. This book describes the mathematical theory inspired by the irreversible nature of time evolving events. The first part of the book deals with the issue of being able to steer the system from any point of departure to any desired destination. The second part deals with optimal control, the question of finding the best possible course. An overlap with mathematical physics is demonstrated by the Maximum principle, a fundamental principle of optimality arising from geometric control, which is applied to time-evolving systems governed by physics as well as to man-made systems governed by controls. Applications are drawn from geometry, mechanics, and control of dynamical systems. The geometric language in which the results are expressed allows clear visual interpretations and makes the book accessible to physicists and engineers as well as to mathematicians.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Geometric control theory is concerned with the evolution of systems subject to physical laws but having some degree of freedom through which motion is to be controlled. This book describes the mathematical theory inspired by the irreversible nature of time evolving events. The first part of the book deals with the issue of being able to steer the system from any point of departure to any desired destination. The second part deals with optimal control, the question of finding the best possible course. An overlap with mathematical physics is demonstrated by the Maximum principle, a fundamental principle of optimality arising from geometric control, which is applied to time-evolving systems governed by physics as well as to man-made systems governed by controls. Applications are drawn from geometry, mechanics, and control of dynamical systems. The geometric language in which the results are expressed allows clear visual interpretations and makes the book accessible to physicists and engineers as well as to mathematicians.

Revue de presse

Review of the hardback: '... should find a place on the reading lists for all graduate courses which contain this aspect of control theory.' D. J. Bell, UMIST

Review of the hardback: 'Without doubt the book is extremely well written, and the intrinsically geometric nature of the language through which fundamental concepts are expressed lends itself to the clear visual representations which will appeal to scientists and engineers.' Peter Larcombe, Mathematics Today

Review of the hardback: '... the book will be of interest to physicists and engineers ... it should be attractive for mathematicians ...'. European Mathematical Society

Review of the hardback: '... an important reference for graduate students and mathematicians ... well written, almost self-contained, and easy to read.' M. F. Silva Leite, Zentralblatt MATH

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2008
Langue
anglais
ISBN 10 
0521058244
ISBN 13 
9780521058247
Reliure
Broché
Nombre de pages
512
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
France

Autres éditions populaires du même titre

9780521495028: Geometric Control Theory

Edition présentée

ISBN 10 :  0521495024 ISBN 13 :  9780521495028
Editeur : Cambridge University Press, 1996
Couverture rigide