1931588
9789067644006
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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.Serovaiskii, S. Ya. is the author of 'Counterexamples in Optimal Control Theory', published 2004 under ISBN 9789067644006 and ISBN 9067644005.
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