Dynamical reconstruction of controls in parabolic systems
type: Item
instance of: scholarly article
title: Dynamical reconstruction of controls in parabolic systems
zbMATH Open document ID: 0945.93016
author: B. V. Digas
author: Vyacheslav I. Maksimov
published in: Computational Mathematics and Mathematical Physics
publication date: 2000-07-03T00:00:00Z
review text: In this paper the problem of the reconstruction of controls in parabolic equations by the results of inaccurate measurements of phase states is investigated. Algorithms for solving this problem that are stable with respect to errors are presented. These algorithms are based on the combination of the model-control principle and the smoothing-functional method. The algorithms proposed employ finite-dimensional models designed by the methods of internal approximation of infinite-dimensional spaces.
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 93B30
Mathematics Subject Classification ID: 49M25
zbMATH DE Number: 1467889
zbMATH Keywords: control system
zbMATH Keywords: parabolic equation
zbMATH Keywords: reconstruction of controls
zbMATH Keywords: stable algorithm
zbMATH Keywords: inaccurate measurements of phase states
zbMATH Keywords: internal approximation
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1467889