Optimal Control and the Calculus of Variations - Couverture rigide

Pinch, Enid R.

Couverture rigide

ISBN 10 : 0198532172 ISBN 13 : 9780198532170

Editeur : Oxford University Press, 1993

Synopsis

Optimal Control is a modern development of the calculus of variations and classical optimization theory. For this reason, this introduction to the theory of Optimal Control starts by considering the problem of minimizing a function of many variables. It moves from there, via an exposition of the calculus of variations, to the main subject which is the optimal control of systems governed by ordinary differential equations. This approach should enable the student to see the essential unity of the three important areas of mathematics, and also allow Optimal Control and the Pontryagin Maximum Principle to be placed in a proper context. A good knowledge of analysis, algebra, and methods, similar to that of a diligent British undergraduate at the start of the final year, is assumed. All the theorems are carefully proved, and there are many worked examples and exercises for the student. Although this book is written for the undergraduate mathematician, engineers and scientists with a taste for mathematics will find this a useful text.

A propos du livre

Présentation de l'éditeur

A paperback edition of this successful textbook for final year undergraduate mathematicians and control engineering students, this book contains exercises and many worked examples, with complete solutions and hints making it ideal not only as a class textbook but also for individual study. The intorduction to optimal control begins by considering the problem of minimizing a function of many variables, before moving on to the main subject: the optimal control of systems governed by ordinary differential equations.

Biographie de l'auteur

Enid R. Pinch is at University of Manchester.

Détails de l'édition

• Éditeur: Oxford University Press
• Date d'édition: 1993
• ISBN 10: 0198532172
• ISBN 13: 9780198532170
• Reliure: Relié
• Langue: anglais
• Nombre de pages: 242
• Coordonnées du fabricant: non disponible