The stable rank of a nest algebra and strong stabilization of linear time-varying systems

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Scopus citations

Abstract

It is shown that the stable rank of a continuous time nest algebra is infinite. From this it follows that there exist stabilizable continuous time systems which are not strongly stabilizable.

Original languageEnglish
Title of host publicationCharacteristic Functions, Scattering Functions and Transfer Functions
EditorsDaniel Alpay, Victor Vinnikov
PublisherSpringer International Publishing
Pages139-148
Number of pages10
ISBN (Print)9783034601825
DOIs
StatePublished - 1 Jan 2010
EventInternational Conference on Characteristic functions and transfer functions in operator theory and system theory, 2007 - Beersheba, Israel
Duration: 9 Jul 200713 Jul 2007

Publication series

NameOperator Theory: Advances and Applications
Volume197
ISSN (Print)0255-0156
ISSN (Electronic)2296-4878

Conference

ConferenceInternational Conference on Characteristic functions and transfer functions in operator theory and system theory, 2007
Country/TerritoryIsrael
CityBeersheba
Period9/07/0713/07/07

Keywords

  • Causality
  • Continuous nests
  • Coprime factorizations
  • Stabilization
  • Stable rank
  • Time-varying linear systems

ASJC Scopus subject areas

  • Analysis

Fingerprint

Dive into the research topics of 'The stable rank of a nest algebra and strong stabilization of linear time-varying systems'. Together they form a unique fingerprint.

Cite this