Counterexamples in Optimal Control Theory

✍ Scribed by Semen Ya. Serovaiskii

Publisher: De Gruyter
Year: 2004
Tongue: English
Leaves: 182
Series: Inverse and Ill-Posed Problems
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

This monograph 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 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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