Ultrafilters in the constructions of attraction sets: problem of compliance to constraints of asymptotic character

DOI10.1134/S0012266111070159zbMath1248.93084MaRDI QIDQ642040

A. G. Chentsov

Publication date: 25 October 2011

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

asymptotic charactercompliance to constraints

Mathematics Subject Classification ID

Control/observation systems in abstract spaces (93C25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (4)

Generalized limits and representations of attraction sets in problems with constraints of asymptotic character ⋮ Attraction sets in abstract attainability problems: equivalent representations and basic properties ⋮ Constraints of asymptotic nature and attainability problems ⋮ 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
• Finitely additive measures and extensions of abstract control problems
• On the construction of an asymptotic analog of a pencil of trajectories for a linear system with a single-impulse control
• Filters and ultrafilters in the constructions of attraction sets
• Nonsequential approximate solutions in abstract problems of attainability

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