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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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About the Author
Enid R. Pinch is at University of Manchester.
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.
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Optimal Control and the Calculus of Variations
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Optimal Control and the Calculus of Variations
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Optimal Control and the Calculus of Variations (eng)
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Optimal Control and the Calculus of Variations
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Condition: New. 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. Num Pages: 242 pages, numerous line drawings. BIC Classification: PBKQ; TBJ; TGPQ. Category: (U) Tertiary Education (US: College). Dimension: 232 x 156 x 14. Weight in Grams: 352. . 1995. Paperback. . . . . Seller Inventory # V9780198514893
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