Attraction sets in abstract attainability problems: equivalent representations and basic properties

DOI10.3103/S1066369X13110030zbMath1284.93035MaRDI QIDQ2439392

A. G. Chentsov

Publication date: 14 March 2014

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

zbMATH Keywords

ultrafiltertopological spaceattraction set

Mathematics Subject Classification ID

Control/observation systems in abstract spaces (93C25) Attainable sets, reachability (93B03)

Related Items (13)

On the question of construction of an attraction set under constraints of asymptotic nature ⋮ On an asymptotic analysis problem related to the construction of an attainability domain ⋮ Compactifiers in extension constructions for reachability problems with constraints of asymptotic nature ⋮ Some topological structures of extensions of abstract reachability problems ⋮ SOME REPRESENTATIONS CONNECTED WITH ULTRAFILTERS AND MAXIMAL LINKED SYSTEMS ⋮ To a Question on the Supercompactness of Ultrafilter Spaces ⋮ On the structure of ultrafilters and properties related to convergence in topological spaces ⋮ Ultrafilters and maximal linked systems ⋮ Superextension as bitopological space ⋮ The Wallman compactifier and its application for investigation of the abstract attainability problem ⋮ Ultrafilters as admissible generalized elements under asymptotic constraints ⋮ Filters and linked families of sets ⋮ A problem related to asymptotic attainability in the mean

Cites Work

• Generalized limits and representations of attraction sets in problems with constraints of asymptotic character
• Ultrafilters in the constructions of attraction sets: problem of compliance to constraints of asymptotic character
• Ultrafilters of measurable spaces as generalized solutions in abstract attainability problems
• Extensions of abstract problems of attainability: nonsequential version
• Extension of an abstract attainability problem with the use of the Stone representation space
• Finitely additive measures and extensions of abstract control problems
• Representation of attraction elements in abstract attainability problems with asymptotic constraints
• Filters and ultrafilters in the constructions of attraction sets
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