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JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya // Archive

Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2009 Issue 8(74), Pages 109–117 (Mi vsgu285)

Mathematics

The identification of the evolutional systems

O. P. Filatov

Dept. of Mathematics and Mechanics, Samara State University, Samara, 443011, Russia

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.

UDC: 517.928.1

Received: 14.09.2009
Revised: 14.09.2009



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