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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 1, Pages 60–69 (Mi timm672)  
This article is cited in 8 scientific papers (total in 8 papers)

On external estimates for reachable sets of nonlinear control systems

M. I. Gusev

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (181 kB) Citations (8)
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Abstract: The paper is devoted to the problem of constructing external estimates for reachable sets of a nonlinear control system. The estimates are constructed in the form of level sets of smooth functions in the space of states satisfying differential inequalities. In the system under consideration, the linear part is found, for which the corresponding functions are assumed to be known. The method proposed for estimating trajectories of a nonlinear system is based on modifying estimates for the linear part and on applying the comparison principle.
Keywords: control system, reachable set, comparison principle.
Received: 24.12.2010
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2011, Volume 275, Issue 1, Pages S57–S67
DOI: https://doi.org/10.1134/S0081543811090057
Bibliographic databases:
Document Type: Article
UDC: 517.977.1
Language: Russian
Citation: M. I. Gusev, “On external estimates for reachable sets of nonlinear control systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 1, 2011, 60–69; Proc. Steklov Inst. Math. (Suppl.), 275, suppl. 1 (2011), S57–S67
Citation in format AMSBIB
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\paper On external estimates for reachable sets of nonlinear control systems
\serial Trudy Inst. Mat. i Mekh. UrO RAN
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\vol 17
\issue 1
\pages 60--69
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\jour Proc. Steklov Inst. Math. (Suppl.)
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\pages S57--S67
\crossref{https://doi.org/10.1134/S0081543811090057}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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