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Avtomatika i Telemekhanika, 2004, Issue 10, Pages 147–162 (Mi at1652)  
This article is cited in 16 scientific papers (total in 16 papers)

Adaptive and Robust Systems

An interval linear tolerance problem

S. P. Shary

Institute of Computing Technologies, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (268 kB) Citations (16)
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Abstract: This paper is concerned with a tolerance problem for an interval linear system $\boldsymbol Ax=\boldsymbol b$ requiring inner estimation of the admissible solution set $\{x\in\mathbb{R}^n \mid(\forall A\in\boldsymbol A)(Ax\in\boldsymbol b)\}$ formed by vectors $x$ for which the product $Ax$ remains within $\boldsymbol b$ for any possible $A\in\boldsymbol A$. Methods for verifying the emptiness and nonemptiness of admissible solution sets are developed. Formulas for the dimensions of the interval solution of a tolerance problem with known center are derived.
Presented by the member of Editorial Board: A. I. Kibzun

Received: 25.11.2003
English version:
Automation and Remote Control, 2004, Volume 65, Issue 10, Pages 1653–1666
DOI: https://doi.org/10.1023/B:AURC.0000044274.25098.da
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. P. Shary, “An interval linear tolerance problem”, Avtomat. i Telemekh., 2004, no. 10, 147–162; Autom. Remote Control, 65:10 (2004), 1653–1666
Citation in format AMSBIB
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\transl
\jour Autom. Remote Control
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Avtomatika i Telemekhanika
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    Abstract page:350
    Full-text PDF :147
    References:63
    First page:2
     
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