Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Robust stability properties of the nu-gap metric for time-varying systems
Univ Melbourne, Dept Elect & Elect Engn, Melbourne, Vic 3010, Australia..
Univ Melbourne, Dept Elect & Elect Engn, Melbourne, Vic 3010, Australia..
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2011 (English)In: 2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), IEEE , 2011, p. 2028-2033Conference paper, Published paper (Refereed)
Abstract [en]

The stability of uncertain feedback interconnections of causal time-varying linear systems is studied in terms of a recently established generalisation of the nu-gap metric. In particular, a number of robustness results from the well-known linear time-invariant theory are extended. The time-varying generalisations include: sufficient conditions for robust stability; a bound on robust performance; and two-sided bounds on the induced norm of the variation in a closed-loop mapping as an open-loop component of the feedback interconnection is perturbed. Underlying assumptions are verified for causal systems that exhibit linear periodically time-varying behaviour. This includes a class of sampled-data systems as a special case. Within the periodic context considered, it can be shown that a robust stability condition is also necessary.

Place, publisher, year, edition, pages
IEEE , 2011. p. 2028-2033
Series
IEEE Conference on Decision and Control, ISSN 0743-1546
Keywords [en]
Feedback, robust stability, nu-gap metric, time-varying systems, periodic systems
National Category
Other Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-243223ISI: 000303506202103ISBN: 978-1-61284-801-3 (print)OAI: oai:DiVA.org:kth-243223DiVA, id: diva2:1354798
Conference
50th IEEE Conference of Decision and Control (CDC)/European Control Conference (ECC), DEC 12-15, 2011, Orlando, FL
Note

QC 20190926

Available from: 2019-09-26 Created: 2019-09-26 Last updated: 2019-09-26Bibliographically approved

Open Access in DiVA

No full text in DiVA

Search in DiVA

By author/editor
Jönsson, Ulf T.
By organisation
Mathematics (Dept.)
Other Mathematics

Search outside of DiVA

GoogleGoogle Scholar

isbn
urn-nbn

Altmetric score

isbn
urn-nbn
Total: 8 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf