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Preprints of the Keldysh Institute of Applied Mathematics, 2018, 120, 26 pp.
DOI: https://doi.org/10.20948/prepr-2018-120 (Mi ipmp2479) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Development and analysis of algorithms for computing optimal disturbances for delay systems

Yu. M. Nechepurenko, M. Yu. Khristichenko
Full-text PDF (744 kB) Citations (1)
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DOI: https://doi.org/10.20948/prepr-2018-120
Abstract: New fast algorithms for computing the maximum amplification of solution norms and optimal disturbances are proposed and justified for delay systems. The proposed algorithms were tested on a system of four nonlinear differential equations with time delay, which is a model of experimental infection caused by lymphocytic choriomeningitis virus. Results of numerical experiments are presented and discussed.
Keywords: optimal disturbances, delay-differential equations, maximum amplification, Lanczos method, alternating maximization.
Funding agency Grant number
Russian Science Foundation 17-71-20149
Russian Foundation for Basic Research 16-01-00572_а
Bibliographic databases:
Document Type: Preprint
Language: Russian
Citation: Yu. M. Nechepurenko, M. Yu. Khristichenko, “Development and analysis of algorithms for computing optimal disturbances for delay systems”, Keldysh Institute preprints, 2018, 120, 26 pp.
Citation in format AMSBIB
\Bibitem{NecKhr18}
\by Yu.~M.~Nechepurenko, M.~Yu.~Khristichenko
\paper Development and analysis of algorithms for computing optimal disturbances for delay systems
\jour Keldysh Institute preprints
\yr 2018
\papernumber 120
\totalpages 26
\mathnet{http://mi.mathnet.ru/ipmp2479}
\crossref{https://doi.org/10.20948/prepr-2018-120}
\elib{https://elibrary.ru/item.asp?id=35129713}
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  • https://www.mathnet.ru/eng/ipmp/y2018/p120
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Препринты Института прикладной математики им. М. В. Келдыша РАН
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    References:18
     
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