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Counterexamples in Optimal Control Theory

Inverse and Ill-Posed Problems Series

S.Ya. Serovaiskii

This monograph deals with relatively simple examples of the theory ofoptimal control which, nevertheless are far from being trivial. It dealswith cases where optimal control either does not exist or is not unique,cases where optimality conditions are insufficient of degenerate, orwhere extremum problems in the sense of Tikhonov and Hadamard areill-posed, and other situations. A formal application of classicaloptimisation methods in such cases either leads to wrong results or hasno effect. The detailed analysis of these ``bad'' examples shouldprovide a better understanding of the modern theory of optimal controland the practical difficulties of solving extremum problems.

This book will be of value and interest to (postgraduate) students,engineers and researchers who take interest in the theory of optimalcontrol and its applications.

2004; viii+176 pages
ISBN 90-6764-400-5
Price (all prices are subject to change without notice): EUR 138/US$ 197

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