Optimal Control and the Calculus of Variations

Pinch

$175.95

Paperback

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English

Oxford University Press
07 September 1995

Calculus of variations; Maths for engineers; Industrial quality control

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 it a useful text.

By: Pinch
Imprint: Oxford University Press
Country of Publication: United Kingdom
Edition: New edition
Dimensions: Height: 233mm, Width: 155mm, Spine: 15mm
Weight: 365g
ISBN: 9780198514893
ISBN 10: 0198514891
Pages: 242
Publication Date: 07 September 1995
Audience: College/higher education , Primary
Format: Paperback
Publisher's Status: Active

Reviews for Optimal Control and the Calculus of Variations

""The author has achieved his aim. Anyone who is curious to know what optimal control theory is all about, or who wishes to begin specializing in this field, would benefit by having this book close at hand. Technical libraries should acquire it, too. . . . highly recommended."" --Applied Mechanics Review