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Synopsis
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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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.
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- PublisherOxford University Press
- Publication date1995
- ISBN 10 0198514891
- ISBN 13 9780198514893
- BindingPaperback
- LanguageEnglish
- Number of pages242
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Optimal Control and the Calculus of Variations
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ISBN 13: 9780198514893
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Optimal Control and the Calculus of Variations (Paperback)
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ISBN 10: 0198514891
ISBN 13: 9780198514893
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Paperback. Condition: new. Paperback. 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 tosee 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 goodknowledge 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. This introduction to optimal control theory is intended for undergraduate mathematicians and for engineers and scientists with some knowledge of classical analysis. It includes sections on classical optimization and the calculus of variations. All the important theorems are carefully proved. There are many worked examples and exercises for the reader to attempt. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780198514893
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