Please use this identifier to cite or link to this item: https://elar.urfu.ru/handle/10995/90477
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dc.contributor.authorBlizorukova, M. S.en
dc.date.accessioned2020-09-29T09:47:30Z-
dc.date.available2020-09-29T09:47:30Z-
dc.date.issued2019-
dc.identifier.citationBlizorukova, M. S. The dynamical discrepancy method in problems of reconstructing unknown characteristics of a second-order system / M. S. Blizorukova. — DOI 10.20537/2226-3594-2019-53-05 // Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta. — 2019. — Iss. 53. — P. 48-60.en
dc.identifier.issn2226-3594-
dc.identifier.otherhttp://www.mathnet.ru/php/getFT.phtml?jrnid=iimi&paperid=370&what=fullt&option_lang=engpdf
dc.identifier.other1good_DOI
dc.identifier.other4c474a56-098e-4cbd-9169-11cc740be496pure_uuid
dc.identifier.otherhttp://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85079130089m
dc.identifier.urihttp://elar.urfu.ru/handle/10995/90477-
dc.description.abstractThis paper considers two problems of dynamical reconstruction of unknown characteristics of a system of nonlinear equations describing the process of innovation diffusion through inaccurate measurements of phase states. A dynamical variant for solving these problems is designed. The system is assumed to operate on a given finite time interval. The evolution of the system’s phase state, i.e., the solution of the system, is determined by an unknown input. A precise reconstruction of the real input (acting on the system) is, generally speaking, impossible due to inaccurate measurements. Therefore, some approximation to this input is constructed which provides an arbitrary smallness to the real input if the measurement errors and the step of incoming information are sufficiently small. Based on the dynamical version of the discrepancy method, two algorithms for solving the problems in question are specified. One of them is oriented to the case of measuring all coordinates of the phase vector, and the other, to the case of incomplete measurements. The algorithms suggested are stable with respect to informational noises and computational errors. Actually, they are special regularizing algorithms from the theory of dynamic inverse problems. © 2019 М.С. Близорукова.en
dc.format.mimetypeapplication/pdfen
dc.language.isoruen
dc.publisherUdmurt State Universityen
dc.rightsinfo:eu-repo/semantics/openAccessen
dc.sourceIzvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universitetaen
dc.subjectDYNAMICAL RECONSTRUCTIONen
dc.subjectNONLINEAR DIFFERENTIAL EQUATIONSen
dc.subjectPART OF COORDINATESen
dc.titleThe dynamical discrepancy method in problems of reconstructing unknown characteristics of a second-order systemen
dc.typeArticleen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeinfo:eu-repo/semantics/publishedVersionen
dc.identifier.rsi38503198-
dc.identifier.doi10.20537/2226-3594-2019-53-05-
dc.identifier.scopus85079130089-
local.affiliationN. N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi, 16, Yekaterinburg, 620990, Russian Federationen
local.affiliationUral Federal University, ul. Mira, 19, Yekaterinburg, 620002, Russian Federationen
local.contributor.employeeBlizorukova, M.S., N. N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi, 16, Yekaterinburg, 620990, Russian Federation, Ural Federal University, ul. Mira, 19, Yekaterinburg, 620002, Russian Federationru
local.description.firstpage48-
local.description.lastpage60-
local.issue53-
dc.identifier.wos000487290700005-
local.identifier.pure10353500-
local.identifier.eid2-s2.0-85079130089-
local.identifier.wosWOS:000487290700005-
Appears in Collections:Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC

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