uu.seUppsala University Publications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association
  • 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
Asymptotic and exponential stability of nonlinear two-dimensional continuous-discrete Roesser models
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences, Signals and Systems Group.
Univ Newcastle, Ctr Complex Dynam Syst & Control, Callaghan, NSW 2308, Australia..
2016 (English)In: Systems & control letters (Print), ISSN 0167-6911, E-ISSN 1872-7956, Vol. 93, 35-42 p.Article in journal (Refereed) Published
Resource type
Text
Abstract [en]

Sufficient conditions guaranteeing Lyapunov stability, asymptotic stability and exponential stability of nonlinear two-dimensional continuous-discrete systems are proposed. Special attention is paid to neutrally stable systems such as some two-dimensional system descriptions of vehicle platoons, which may be stable or asymptotically stable but never exponentially stable. Our conditions for Lyapunov stability and asymptotic stability only require the corresponding two-dimensional Lyapunov function to have a negative semidefinite divergence. They are thus suitable for the analysis of non-exponential versions of 2D stability. Examples are given to illustrate the results.

Place, publisher, year, edition, pages
2016. Vol. 93, 35-42 p.
Keyword [en]
Two-dimensional (2D), Nonlinear systems, Stability, Continuous-discrete
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:uu:diva-299709DOI: 10.1016/j.sysconle.2016.03.004ISI: 000378461600005OAI: oai:DiVA.org:uu-299709DiVA: diva2:950022
Available from: 2016-07-26 Created: 2016-07-26 Last updated: 2016-07-26Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Knorn, Steffi
By organisation
Signals and Systems Group
In the same journal
Systems & control letters (Print)
Control Engineering

Search outside of DiVA

GoogleGoogle Scholar

Altmetric score

Total: 294 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association
  • 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