Matrix conditions for the stability of 2D dynamics
type: Item
instance of: scholarly article
title: Matrix conditions for the stability of 2D dynamics
zbMATH Open document ID: 0962.93076
DOI: 10.1007/BF01204573
author: Tatsushi Ooba
published in: Circuits, Systems, and Signal Processing
publication date: 2000-10-03T00:00:00Z
review text: The stability of the 2D system \[ x(i,j)= A_1 x(i- 1,j)+ A_2 x(i,j- 1), \] where \(x(i,j)\in \mathbb{R}^n\), \(A_1,A_2\in \mathbb{R}^{n\times n}\) is analyzed. A new notion of stability of a pair of matrices is introduced. Necessary and sufficient conditions for the stability of the system are established. A condition for being free of overflow oscillations in saturation arithmetic is presented.
reviewed by: Tadeusz Kaczorek
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 93C35
Mathematics Subject Classification ID: 93C55
zbMATH DE Number: 1513148
zbMATH Keywords: discrete system
zbMATH Keywords: stability
zbMATH Keywords: 2D system
zbMATH Keywords: overflow oscillations
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01204573
OpenAlex ID: W2077890233
description: scientific article; zbMATH DE number 1513148