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Avtomatika i Telemekhanika, 2011, Issue 9, Pages 127–141 (Mi at2280)  
This article is cited in 16 scientific papers (total in 16 papers)

Topical issue

Algorithms to estimate the reachability sets of the pulse controlled systems with ellipsoidal phase constraints

T. F. Filippova, O. G. Matviichuk

Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia
Full-text PDF (649 kB) Citations (16)
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Abstract: Methods to construct the ellipsoidal estimates of the reachability sets of a nonlinear dynamic system with scalar pulse control and uncertainty in the initial data were proposed. The considered pulse system was rearranged in the ordinary differential inclusion already without any pulse components by means of a special discontinuous time substitution. The results of the theory of ellipsoidal estimation and the theory of evolutionary equations of the multivalued states of dynamic systems under uncertainty and ellipsoidal phase constraints were used to estimate the reachability sets of the resulting nonlinear differential inclusion.
Presented by the member of Editorial Board: L. B. Rapoport

Received: 12.04.2011
English version:
Automation and Remote Control, 2011, Volume 72, Issue 9, Pages 1911–1924
DOI: https://doi.org/10.1134/S000511791109013X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: T. F. Filippova, O. G. Matviichuk, “Algorithms to estimate the reachability sets of the pulse controlled systems with ellipsoidal phase constraints”, Avtomat. i Telemekh., 2011, no. 9, 127–141; Autom. Remote Control, 72:9 (2011), 1911–1924
Citation in format AMSBIB
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\pages 127--141
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  • https://www.mathnet.ru/eng/at/y2011/i9/p127
    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :108
    References:46
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