Counterexamples in Optimal Control Theory

Counterexamples in Optimal Control Theory

Author
Semen Ya. Serovaiskii
Publisher
De Gruyter
Language
English
Edition
Reprint 2011
Year
2011
Page
182
ISBN
9783110915532
File Type
pdf
File Size
3.9 MiB

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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