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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2009, Issue 8(74), Pages 109–117
(Mi vsgu285)
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Mathematics
The identification of the evolutional systems
O. P. Filatov Dept. of Mathematics and Mechanics, Samara State University, Samara, 443011, Russia
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
The problem of determination of the parameter of the right hand side of the differential system or of the differential inclusion in accordance with the observations of the solution of the Cauchy problem in some times is considered. The parameter belongs to compact metric space. The uniqueness of the desired parameter is not assumed. The observations are produced with the errors. The final set is constructed, approximated by the unknown set of parameters in the Hausdorff metric. The approximation precision becomes zero with the errors of observation the errors of calculation.
Keywords:
differential system, differential inclusion, compact metric space, determination of the parameter, errors of observation, errors of calculation.
Received: 14.09.2009 Revised: 14.09.2009
Citation:
O. P. Filatov, “The identification of the evolutional systems”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2009, no. 8(74), 109–117
Linking options:
https://www.mathnet.ru/eng/vsgu285 https://www.mathnet.ru/eng/vsgu/y2009/i8/p109
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