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OverviewThis 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. Full Product DetailsAuthor: A.G. ChentsovPublisher: Springer Imprint: Springer Edition: Softcover reprint of hardcover 1st ed. 1997 Volume: 383 Dimensions: Width: 21.00cm , Height: 1.80cm , Length: 27.90cm Weight: 0.839kg ISBN: 9789048147656ISBN 10: 9048147654 Pages: 322 Publication Date: 06 December 2010 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of Contents1 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.- List of notations.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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