Asymptotic similarity of infinite-dimensional linear systems and applications to stability
type: Item
instance of: scholarly article
zbMATH Open document ID: 0979.34044
author: Jingbo Wu
publication date: 2001-07-11T00:00:00Z
Mathematics Subject Classification ID: 34D30
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 34A35
zbMATH DE Number: 1616986
zbMATH Keywords: similarity
zbMATH Keywords: infinite-dimensional linear systems
zbMATH Keywords: spectrum
zbMATH Keywords: stability
MaRDI profile type: Publication
title: Asymptotic similarity of infinite-dimensional linear systems and applications to stability
published in: Systems Science and Mathematical Sciences
review text: The notion of similarity for linear systems is extended to the infinite-dimensional setting. Wheras the similarity operator is assumed to be bounded with bounded inverse this assumption is too restrictive in the infinite-dimensional setting. The author introduces a generalization called asymptotic similarity which in the finite-dimensional case reduces to the well-known similarity notion. Asymptotic similarity preserves the spectrum and the exponential growth rates.
reviewed by: S. Siegmund
description: scientific article; zbMATH DE number 1616986