Counterexamples in Optimal Control Theory
Semen Ya. Serovaiskii
Dis 2011 · Inverse and Ill-Posed Problems Series Ibhuku elingu-45 · Walter de Gruyter
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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.
Mayelana nomlobi
Semen Ya. Serovaiskii, Al-Farabi Kazakh National University, Almaty, Kazakhstan.
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