Conditions for internal stability of two-dimensional systems
type: Item
instance of: scholarly article
title: Conditions for internal stability of two-dimensional systems
zbMATH Open document ID: 0602.93059
DOI: 10.1016/0167-6911(86)90112-X
author: B. George
published in: Systems \& Control Letters
publication date: 1986-01-01T00:00:00Z
review text: The numerical range and the generalized spectral radius are extended to two matrices. It is shown that: 1) the generalized spectral radius is not greater than the generalized numerical radius; 2) the Fornasini- Marchesini model is stable if the generalized numerical radius is less than unity.
reviewed by: Tadeusz Kaczorek
Mathematics Subject Classification ID: 93D99
Mathematics Subject Classification ID: 15A60
Mathematics Subject Classification ID: 93C35
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 70G10
zbMATH DE Number: 3972766
zbMATH Keywords: internal stability
zbMATH Keywords: two-dimensional systems
zbMATH Keywords: numerical range
zbMATH Keywords: generalized spectral radius
describes a project that uses: EISPACK
MaRDI profile type: Publication
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full work available at URL: 0167-6911(86)90112-x
OpenAlex ID: W2138602079
description: scientific article; zbMATH DE number 3972766