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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 2, Pages 209–219
DOI: https://doi.org/10.7868/S0044466918020060 (Mi zvmmf10674) 		 
This article is cited in 2 scientific papers (total in 2 papers)

New external estimate for the reachable set of a nonlinear multistep dynamic system

A. V. Lotov

Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, Moscow, Russia
Citations (2)
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DOI: https://doi.org/10.7868/S0044466918020060
Abstract: An approach is proposed for estimating the reachable set of a nonlinear multistep dynamic system by approximating the effective hull of this set. The approximation of the effective hull relies on local optimization of specially chosen functions of the system's state. Methods using global optimization of such functions are briefly described. Approximation methods based on local optimization are considered as applied to the effective hull of a reachable set, and a statistical estimate for the quality of the effective hull approximation is constructed.
Key words: nonlinear dynamic system, reachable set, effective hull, approximation, local optimization.
Funding agency Grant number
Russian Science Foundation 14-11-00432
Received: 30.04.2017
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 2, Pages 196–206
DOI: https://doi.org/10.1134/S0965542518020082
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Lotov, “New external estimate for the reachable set of a nonlinear multistep dynamic system”, Zh. Vychisl. Mat. Mat. Fiz., 58:2 (2018), 209–219; Comput. Math. Math. Phys., 58:2 (2018), 196–206
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
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Abstract page:209
    References:50
     
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