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JOURNALS // Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki // Archive

Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011 Issue 1, Pages 8–13 (Mi vuu202)

MATHEMATICS

Local parametric identifiability for system with finite family of parameters

G. I. Volfson

Saint-Petersburg State Electrotechnical University, Saint-Petersburg, Russia

Abstract: The problem of local parametric identifiability of system in case of finite parameter family was investigated. In introduction the main definitions and necessary denotations are given. In the first part the criterion of local parametric identifiability of systems in case of observation of the accurate solution was obtained. In the the second part the problem of local parametric identifiability of systems was investigated in case of observation of the approximated solution, derived by numerical approximation of the accurate solution. The criterion of local parametric identifiability of systems in this case was obtained also.

Keywords: local identifiability, systems of differential equations.

UDC: 517.925

MSC: 93B30, 93D25

Received: 14.10.2010



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