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Funktsional'nyi Analiz i ego Prilozheniya, 2010, Volume 44, Issue 2, Pages 74–81
DOI: https://doi.org/10.4213/faa2985 (Mi faa2985) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The structure of the attractor of shapes of reachable sets

A. I. Ovseevich

Institite for Problems in Mechanics, Russian Academy of Sciences
Full-text PDF (181 kB) Citations (2)
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DOI: https://doi.org/10.4213/faa2985
Abstract: We study the asymptotic behavior of reachable sets of a linear time-invariant impulsive control system. Our main result is a complete description of the set of limit shapes of reachable sets (the attractor) in the case of a scalar control. The attractor is a torus defined via the pure imaginary eigenvalues of the system matrix.
Keywords: linear system, impulsive control, reachable (attainable) set, shape of convex body, attractor, torus.
Received: 10.10.2008
English version:
Functional Analysis and Its Applications, 2010, Volume 44, Issue 2, Pages 139–145
DOI: https://doi.org/10.1007/s10688-010-0017-y
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. I. Ovseevich, “The structure of the attractor of shapes of reachable sets”, Funktsional. Anal. i Prilozhen., 44:2 (2010), 74–81; Funct. Anal. Appl., 44:2 (2010), 139–145
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
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