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In this monograph, questions of extensions and relaxations are consid­ ered. These questions arise in many applied problems in connection with the operation of perturbations. In some… Meer...

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Softcover reprint of hardcover 1st ed. 1997 Kartoniert / Broschiert Mathematische Grundlagen, Funktionalanalysis und Abwandlungen, Integralrechnung und -gleichungen, Variationsrechnung,… Meer...

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Mathematics; Functional Analysis; Measure and Integration; Calculus of Variations and Optimal Control; Optimization; Mathematical Logic and Foundations; Topology Optimal control, function… Meer...

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Asymptotic Attainability

This book deals with the construction of correct extensions of extremal problems including problems of multicriterial optimization and more general problems of optimization with respect to a cone. These questions need to be investigated, as extremal problems may be unstable with respect to either an attainable result, or with respect to solutions providing an optimal result (precisely or approximately). The methods of qualitative stability and asymptotically insensitive analysis proposed here are particularly applicable to problems of optimal control with integrally constrained openloop controls. A nontraditional mathematical tool using elements of finitely-additive measure theory is applied, which necessitated special research concerned with approximative analogues of the Radon-Nikodym property. These abstract constructions do, however, address the essence of the problem at hand, and may find other applications as well. Audience: This volume will be useful to specialists and graduate students whose fields of interest include control theory and its applications, measure integration, functional analysis, optimal control, fuzzy sets and fuzzy logic, and general topology.

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EAN (ISBN-13): 9789048147656
ISBN (ISBN-10): 9048147654
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer-Verlag GmbH
340 Bladzijden
Gewicht: 0,515 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2011-08-07T20:32:29+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2021-12-21T16:35:48+01:00 (Amsterdam)
ISBN/EAN: 9789048147656

ISBN - alternatieve schrijfwijzen:
90-481-4765-4, 978-90-481-4765-6


Gegevens van de uitgever

Auteur: A.G. Chentsov
Titel: Mathematics and Its Applications; Asymptotic Attainability
Uitgeverij: Springer; Springer Netherland
322 Bladzijden
Verschijningsjaar: 2010-12-06
Dordrecht; NL
Gedrukt / Gemaakt in
Gewicht: 0,839 kg
Taal: Engels
192,59 € (DE)
197,99 € (AT)
212,50 CHF (CH)
POD

BC; Previously published in hardcover; Hardcover, Softcover / Mathematik/Analysis; Funktionalanalysis und Abwandlungen; Verstehen; Optimal control; functional analysis; measure theory; optimization; topology; C; Functional Analysis; Measure and Integration; Calculus of Variations and Optimal Control; Optimization; Mathematical Logic and Foundations; Topology; Functional Analysis; Measure and Integration; Calculus of Variations and Optimization; Mathematical Logic and Foundations; Topology; Mathematics and Statistics; Integralrechnung und -gleichungen; Optimierung; Mathematik: Logik; Mathematische Grundlagen; Topologie; BB

Preface. 1. Asymptotically Attainable Elements: Model Examples. 2. Asymptotic Effects in Linear Control Problems with Integral Constraints. 3. Asymptotic Attainability: General Questions. 4. Asymptotic Attainability Under Perturbation of Integral Constraints. 5. Relaxations of Extremal Problems. 6. Some Generalizations. 7. Other Extension Constructions in the Space of Solutions. Conclusion. Index. List of Notations.

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9789401708050 Chentsov, A.G.: Asymptotic Attainability (A.G. Chentsov)


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