Asymptotic stability of a class of linear discrete systems with multiple independent variables
type: Item
instance of: scholarly article
title: Asymptotic stability of a class of linear discrete systems with multiple independent variables
zbMATH Open document ID: 1173.39302
author: Derong Liu
author: Alexander Molchanov
published in: Circuits, Systems, and Signal Processing
publication date: 2004-05-18T00:00:00Z
review text: The authors investigate the asymptotic stability for a class of linear shift-invariant discrete systems with multiple independent variables. They show the equivalence of this problem to the problem of robust stability of a special ordinary linear shift-varying discrete system with matrix uncertainty set defined by the coefficient matrices of the original discrete system. Then the variational method and Lyapunov's second method is used to obtain necessary and sufficient conditions for the asymptotic stability in different forms for the given class of discrete systems. A simple sufficient condition of asymptotic stability is given which becomes necessary for several special cases of the discrete system under consideration.
Mathematics Subject Classification ID: 39A11
Mathematics Subject Classification ID: 93D20
zbMATH DE Number: 2064270
zbMATH Keywords: discrete shift-invariant system
zbMATH Keywords: shift-varying system
zbMATH Keywords: asymptotic stability
zbMATH Keywords: robust stability
zbMATH Keywords: Lyapunov method
reviewed by: Mihály Pituk
MaRDI profile type: Publication
full work available at URL: s00034-004-7033-1
OpenAlex ID: W2060841415
DOI: 10.1007/S00034-004-7033-1
description: scientific article; zbMATH DE number 2064270