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Optimal Control and the Calculus of Variations, by Enid R. Pinch
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Optimal control is a modern development of the calculus of variations and classical optimization theory. For that reason, this introduction to the theory of optimal control starts by considering the problem of minimizing a function of many variables. It moves through an exposition of the calculus of variations, to the optimal control of systems governed by ordinary differential equations. This approach should enable students to see the essential unity of 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 is assumed. All the theorems are carefully proved, and there are many worked examples and exercises. Although this book is written for the advanced undergraduate mathematician, engineers and scientists who regularly rely on mathematics will also find it a useful text.
- Sales Rank: #344962 in Books
- Published on: 1995-10-19
- Ingredients: Example Ingredients
- Original language: English
- Number of items: 1
- Dimensions: 9.19" h x .62" w x 6.13" l, .88 pounds
- Binding: Paperback
- 248 pages
Review
"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
From the Back Cover
This book provides the core material for undergraduate courses on optimal control, the modern development that has grown out of the calculus of variations and classical optimization theory.
About the Author
Enid R. Pinch is at University of Manchester.
Most helpful customer reviews
0 of 0 people found the following review helpful.
A perfect book
By Amir
This book is very readable. it has almost all necessary and fundamental materials of calculus of variation for starting the Optimal control.
5 of 5 people found the following review helpful.
A genuinely readable introdution for the applied scientist
By Chris Harris (chris@vissci.ion.ucl.ac.uk)
This is an excellent introduction to the calculus of variations and Pontryagin's Maximum Principle. It is written exceptionally clearly and gives the reader access to the calculus without becoming bogged down in lengthy diffcult proofs (which are left to the end).
I recommend this book to any student or scientist who is not a pure mathematician but wishes to understand and apply analytic tools of optimization.
3 of 3 people found the following review helpful.
Superb
By A Customer
I have read a large number of books on this field. This is by far the most comprehensive book on the subject. It is suitable for self study, and gives a true jist for optimal control
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