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Avtomatika i Telemekhanika, 2004, Issue 11, Pages 102–113 (Mi at1663)  
This article is cited in 3 scientific papers (total in 3 papers)

Stochastic Systems

Control time in systems of chaotic behavior. II. its estimation

S. M. Khryashchev

Saint-Petersburg State Polytechnical University
Full-text PDF (226 kB) Citations (3)
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Abstract: The control time of dynamic systems is estimated by a method based on the properties of a sequence of reachable sets. It is shown to depend on the rate of growth of the volume of reachable sets. The method for studying controllability is applicable to systems with chaotic behavior of trajectories. For control systems generated by neutral mappings, an asymptotic estimate for the control time is found under arbitrarily small controls.
Presented by the member of Editorial Board: B. T. Polyak

Received: 27.05.2003
English version:
Automation and Remote Control, 2004, Volume 65, Issue 11, Pages 1782–1792
DOI: https://doi.org/10.1023/B:AURC.0000047892.96055.0c
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. M. Khryashchev, “Control time in systems of chaotic behavior. II. its estimation”, Avtomat. i Telemekh., 2004, no. 11, 102–113; Autom. Remote Control, 65:11 (2004), 1782–1792
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/at/y2004/i11/p102
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    This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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