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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2014 Number 8, Pages 30–41 (Mi ivm8916)

This article is cited in 2 papers

On reconstruction of an input for parabolic equation on infinite time interval

M. S. Blizorukovaab, V. I. Maksimova

a Chair of Modeling of Controlled Syetems, Ural Federal University
b Department of Differential Equations, Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, 16 S. Kovalevskaya str., Ekaterinburg, 620990 Russia

Abstract: For a parabolic equation we consider a problem of dynamic reconstruction of inputs from measurements of phase coordinates on an infinite time interval. The paper presents an algorithm based on constructions of the theory of dynamic inversion. The algorithm is stable with respect to informational noises and computational errors.

Keywords: dynamic inverse problems, reconstruction of disturbances.

UDC: 519.633

Received: 30.01.2013


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, 58:8, 24–34

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