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CAP17_4_3_Baklanov.pdf

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/80137 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/80137 http://eprints.org/relation/isIndexCodesVersionOf https://pure.iiasa.ac.at/id/document/80137 archive 353 disk0/00/01/49/97 2017-12-11 12:25:35 2021-08-27 17:29:42 2017-12-11 12:25:35 article show Baklanov A. 2067 0000-0003-1599-3618 Chentsov A. Savenkov I. pub prog_asa Finitely additive measures, attraction set, constraints of asymptotic character, ultrafilters We study asymptotic versions of reachable sets of linear systems for two intuitive formalizations of onepulse controls given constraints of asymptotic character. The results are presented for the simplest example of linear control systems, the double integrator, though they admit a straightforward extension to a generic linear system. We suppose that the coefficient at the control is a piecewise continuous function. To illustrate the developed theoretical framework for both formalizations, we demonstrate examples of linear control systems, the double integrator, though they admit a straightforward extension to a generic linear system. We suppose that the coefficient at the control is a piecewise continuous function. To illustrate the developed theoretical framework for both formalizations, we demonstrate examples of attraction sets, asymptotic versions of reachable sets. 2017 published International Physics and Control Society (IPACS) http://lib.physcon.ru/doc?id=8f63874a6288 22 public Cybernetics and Physics 6 4 166-173 TRUE 2223-7038 FALSE no info:eu-repo/semantics/article