Counterexamples in Optimal Control Theory
Seiten
| Ausstattung: Hardcover & eBook
2011
|
Reprint 2011
De Gruyter
9783111826486 (ISBN)
De Gruyter
9783111826486 (ISBN)
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The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
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.
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.
Semen Ya. Serovaiskii, Al-Farabi Kazakh National University, Almaty, Kazakhstan.
| Reihe/Serie | Inverse and Ill-Posed Problems Series ; 45 |
|---|---|
| Zusatzinfo | Includes a print version and an ebook |
| Verlagsort | Berlin/Boston |
| Sprache | englisch |
| Gewicht | 750 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| Schlagworte | extremum problems • Kontrolltheorie • optimal control • Optimal Control; Extremum Problems • Optimalsteuerung |
| ISBN-13 | 9783111826486 / 9783111826486 |
| Zustand | Neuware |
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