Representation of attraction elements in abstract attainability problems with asymptotic constraints

DOI10.3103/S1066369X12100040zbMath1266.49040MaRDI QIDQ1946270

A. G. Chentsov

Publication date: 19 April 2013

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

extensionultrafiltertopological spaceattraction setattainability problemasymptotic constraints

Mathematics Subject Classification ID

Programming in abstract spaces (90C48) Control/observation systems in abstract spaces (93C25) Optimality conditions for problems in abstract spaces (49K27)

Related Items (6)

On an asymptotic analysis problem related to the construction of an attainability domain ⋮ Some topological structures of extensions of abstract reachability problems ⋮ Attraction sets in abstract attainability problems: equivalent representations and basic properties ⋮ On the question of representation of ultrafilters in a product of measurable spaces ⋮ On the structure of ultrafilters and properties related to convergence in topological spaces ⋮ On the question of representation of ultrafilters and their application in extension constructions

Cites Work

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• Ultrafilters of measurable spaces as generalized solutions in abstract attainability problems
• Extensions of abstract problems of attainability: nonsequential version
• Construction of limiting process operations using ultrafilters of measurable spaces
• Finitely additive measures and extensions of abstract control problems
• Filters and ultrafilters in the constructions of attraction sets
• Nonsequential approximate solutions in abstract problems of attainability

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