Nonsequential approximate solutions in abstract problems of attainability

DOI10.1134/S0081543806050051zbMath1126.49008MaRDI QIDQ5421275

A. G. Chentsov

Publication date: 22 October 2007

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/timm/v12/i1/p216

zbMATH Keywords

asymptotic behavior under constraintsstructure of attraction set

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Duality theory (optimization) (49N15)

Related Items (7)

Representation of attraction elements in abstract attainability problems with asymptotic constraints ⋮ Ultrafilters in the constructions of attraction sets: problem of compliance to constraints of asymptotic character ⋮ Construction of limiting process operations using ultrafilters of measurable spaces ⋮ Extension of an abstract attainability problem with the use of the Stone representation space ⋮ Ultrafilters of measurable spaces as generalized solutions in abstract attainability problems ⋮ One representation of the results of action of approximate solutions in a problem with constraints of asymptotic nature ⋮ The closure of the sheaf of trajectories of a linear control system with integral constraints

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