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Inverse and Ill-Posed Problems Series
S.Ya. Serovaiskii
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.
This book will be of value and interest to (postgraduate) students, engineers and researchers who take interest in the theory of optimal control and its applications.
2004;
viii pages
ISBN 90-6764-400-5
Price: EUR 139/US$ 188
VSP, P.O. Box 346, 3700 AH Zeist, The Netherlands