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.
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Editorial Reviews
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"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
About the Author
Enid R. Pinch is at University of Manchester.
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4 of 4 people found the following review helpful:
5.0 out of 5 stars
A genuinely readable introdution for the applied scientist,
By Chris Harris (chris@vissci.ion.ucl.ac.uk) (London, UK) - See all my reviews
This review is from: Optimal Control and the Calculus of Variations (Hardcover)
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:
5.0 out of 5 stars
Superb,
By A Customer
This review is from: Optimal Control and the Calculus of Variations (Paperback)
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
0 of 4 people found the following review helpful:
2.0 out of 5 stars
Not enough words,
By A Customer
This review is from: Optimal Control and the Calculus of Variations (Paperback)
If you have a good professor to guide your through, this book may be ok. If you're on your own - forget about it.
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Citations (learn more)
3
books
cite this book:
- The Calculus of Variations and Functional Analysis With Optimal Control and Applications in Mechanics (Series on Stability, Vibration and Control of Systems, Series A - Vol. 12) by L.P. Lebedev in Back Matter
- Applied Mathematics by J. David Logan on page 205
- Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models (Nonconvex Optimization and Its Applications (closed)) by F. Giannessi on page 99
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