This textbook is a straightforward introduction to the theory of optimal control with an emphasis on presenting many different applications. Among the topics covered are: controllability, linear and non-linear time optimal problems and linear state equations with quadratic cost functions. Series: Oxford Applied Mathematics & Computing Science Series. Num Pages: 272 pages, numerous line drawings. BIC Classification: TBJ; TJFM. Category: (U) Tertiary Education (US: College). Dimension: 216 x 141 x 17. Weight in Grams: 386. . 1998. paperback. . . . .

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Bibliographic Details

Title: Optimal Control: An Introduction to the Theory with Applications (Oxford Applied Mathematics & Computing Science Series)
Publisher: Oxford University Press, U.S.A.
Publication Date: 1998
Language: English
ISBN 10: 0198596820
ISBN 13: 9780198596820
Binding: Soft cover
Condition: New

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Synopsis

Systems that evolve with time occur frequently in nature and modelling the behavior of such systems provides an important application of mathematics. These systems can be completely deterministic, but it may be possible too to control their behavior by intervention through "controls". The theory of optimal control is concerned with determining such controls which, at minimum cost, either direct the system along a given trajectory or enable it to reach a given point in its state space. This textbook is a straightforward introduction to the theory of optimal control with an emphasis on presenting many different applications. Professor Hocking has taken pains to ensure that the theory is developed to display the main themes of the arguments but without using sophisticated mathematical tools. Problems in this setting can arise across a wide range of subjects and there are illustrative examples of systems from fields as diverse as dynamics, economics, population control, and medicine. Throughout there are many worked examples, and numerous exercises (with solutions) are provided.

About the Author

Leslie M. Hocking is at University College, London.

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