One Representation of the Results of Action of Approximate Solutions in a Problem with Constraints of Asymptotic Nature / Chentsov A. G. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2012. - V. 276, l. 1. - P. S48-S62.

ISSN/EISSN:

0081-5438 / нет данных

Type:

Article

Abstract:

We consider an abstract attainability problem with constraints of asymptotic nature defined in the form of a nonempty family of subsets in the space of ordinary solutions. Various variants of implementing asymptotic effects are considered (convergence in a topological space, cycles, and so on). A rather general method is suggested for presenting the results of action of approximate solutions; this method generalizes constructions based on sequences in the space of ordinary solutions.

Author keywords:

attraction set; net; ultrafilter

DOI:

10.1134/S0081543812020046

Web of Science ID:

ISI:000305482900004

Соавторы в МНС:

—

Другие поля

Поле	Значение
Month	APR
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics, Applied; Mathematics
Author-Email	chentsov@imm.uran.ru
Funding-Acknowledgement	Russian Foundation for Basic Research {[}09-01-00436, 10-01-96020]; Program for Fundamental Research of the Presidium of the Russian Academy of Sciences {[}09-P-1-1007, 09-P-1-1014]
Funding-Text	This work was supported by the Russian Foundation for Basic Research (project nos. 09-01-00436 and 10-01-96020) and by the Program for Fundamental Research of the Presidium of the Russian Academy of Sciences ``Mathematical Theory of Control{''} (project nos. 09-P-1-1007 and 09-P-1-1014).
Number-of-Cited-References	16
Usage-Count-Since-2013	6
Journal-ISO	Proc. Steklov Inst. Math.
Doc-Delivery-Number	961QS