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Avtomatika i Telemekhanika, 2004, Issue 10, Pages 51–66 (Mi at1645)  
This article is cited in 9 scientific papers (total in 9 papers)

Stochastic Systems

Control time in systems of chaotic behavior. I. Its estimation

S. M. Khryashchev

Saint-Petersburg State Polytechnical University
Full-text PDF (258 kB) Citations (9)
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Abstract: An estimation method based on the properties of a sequence of reachability sets for determining the control time of dynamic systems is designed. The control time is shown to depend on the volume growth rate of reachability sets. The method for studying controllability is applicable to systems with chaotic behavior of trajectories. For certain particular classes of systems, an asymptotic estimate for the control time is found under arbitrarily small controls.
Presented by the member of Editorial Board: B. T. Polyak

Received: 22.05.2003
English version:
Automation and Remote Control, 2004, Volume 65, Issue 10, Pages 1566–1579
DOI: https://doi.org/10.1023/B:AURC.0000044267.79593.20
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. M. Khryashchev, “Control time in systems of chaotic behavior. I. Its estimation”, Avtomat. i Telemekh., 2004, no. 10, 51–66; Autom. Remote Control, 65:10 (2004), 1566–1579
Citation in format AMSBIB
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    Cycle of papers
    This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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