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Item Details
Title: OPTIMAL CONTROL
AN INTRODUCTION TO THE THEORY WITH APPLICATIONS
By: Leslie M. Hocking
Format: Hardback

List price: £37.50


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ISBN 10: 0198596758
ISBN 13: 9780198596752
Publisher: OXFORD UNIVERSITY PRESS INC
Pub. date: 28 February, 1991
Series: Applied Mathematics & Computing Science S.
Pages: 268
Description: 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.
Synopsis: Systems that evolve with time occur frequently in nature and modelling the behaviour of such systems provides an important application of mathematics. These systems can be completely deterministic, but it may be possible too to control their behaviour 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 as diverse fields as dynamics, economics, population control, and medicine. Throughout there are many worked examples, and numerous exercises (with solutions) are provided.
Illustrations: 38 line drawings, bibliography, index
Publication: US
Imprint: Oxford University Press Inc
Returns: Non-returnable
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