Overview

01/07 This title is now available from Walter de Gruyter. Please see www.degruyter.com for more information. This monograph deals with relatively simple examples of the theory of optimal control which, nevertheless are far from being trivial. It deals with cases where optimal control either does not exist or is not unique, cases where optimality conditions are insufficient of degenerate, or where extremum problems in the sense of Tikhonov and Hadamard are ill-posed, and other situations. A formal application of classical optimisation methods in such cases either leads to wrong results or has no effect. The detailed analysis of these bad examples should provide a better understanding of the modern theory of optimal control and the practical difficulties of solving extremum problems.

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9789067644006

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Reviews

'The book is written in an easily understandable style at the advanced undergraduate level. It may be useful for teaching purposes in an introductory course of optimal control, as a reasonable set of examples and counterexamples which will help students understand the subject.' T. Zolezzi, Mathematical Reviews, 2005.

Author Information

Semen Ya. Serovaiskii, Al-Farabi Kazakh National University, Almaty, Kazakhstan.

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