An example of \(\varepsilon\)-insensitizing controls for the heat equation with no intersecting observation and control regions.
type: Item
instance of: scholarly article
title: An example of \(\varepsilon\)-insensitizing controls for the heat equation with no intersecting observation and control regions.
zbMATH Open document ID: 1070.93027
author: Luz de Teresa
author: Sorin Micu
author: Jaime H. Ortega
published in: Applied Mathematics Letters
publication date: 2005-03-07T00:00:00Z
review text: The paper is devoted to the \(\varepsilon\)-insensitizing control problem for the 1-D heat equation with disjoint control and observation regions. It is mentioned that the problem is equivalent to an approximate controllability problem for a cascade linear system. With the help of the Fourier decomposition of the solutions of a special cascade systems, existence of an element \(\varepsilon\)-insensitizing a special form quadratic functional is established.
reviewed by: Vyacheslav I. Maksimov
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 2140764
zbMATH Keywords: heat equation
zbMATH Keywords: approximate controllability
zbMATH Keywords: insensitizing control
zbMATH Keywords: unique continuation property
zbMATH Keywords: cascade linear system
zbMATH Keywords: Fourier decomposition
MaRDI profile type: Publication
full work available at URL: j.aml.2003.10.006
OpenAlex ID: W2064079332
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cites work: Unique continuation for some evolution equations
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DOI: 10.1016/J.AML.2003.10.006
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description: scientific article; zbMATH DE number 2140764