Counterexamples in Optimal Control Theory
Semen Ya. Serovaiskii
Des 2011 · Inverse and Ill-Posed Problems Series Kitabu cha 45 · Walter de Gruyter
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182
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reportUkadiriaji na maoni hayajahakikishwa Pata Maelezo Zaidi
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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.
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Semen Ya. Serovaiskii, Al-Farabi Kazakh National University, Almaty, Kazakhstan.
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