Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • 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
Nonintegrable discrete-time driftless control systems: geometric phases beyond the area rule
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, Faculty of Science & Engineering. (Automatic Control)ORCID iD: 0000-0003-4142-6502
2016 (English)In: 2016 IEEE 55th Conference on Decision and Control (CDC), IEEE Press, 2016, p. 4692-4697Conference paper, Published paper (Refereed)
Abstract [en]

In a continuous-time nonlinear driftless control system, a geometric phase is a consequence of nonintegrability of the vector fields, and it describes how cyclic trajectories in shape space induce non-periodic motion in phase space, according to an area rule. The aim of this paper is to shown that geometric phases exist also for discrete-time driftless nonlinear control systems, but that unlike their continuous-time counterpart, they need not obey any area rule, i.e., even zero-area cycles in shape space can lead to nontrivial geometric phases. When the discrete-time system is obtained through Euler discretization of a continuous-time system, it is shown that the zero-area geometric phase corresponds to the gap between the Euler discretization and an exact discretization of the continuous-time system.

Place, publisher, year, edition, pages
IEEE Press, 2016. p. 4692-4697
Series
IEEE Conference on Decision and Control, ISSN 0743-1546
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-135542DOI: 10.1109/CDC.2016.7798984ISI: 000400048104142ISBN: 9781509018376 (electronic)ISBN: 9781509018444 (electronic)ISBN: 9781509018383 (electronic)OAI: oai:DiVA.org:liu-135542DiVA, id: diva2:1082499
Conference
2016 IEEE 55th Conference on Decision and Control (CDC), 12-14 December, Las Vegas, USA
Available from: 2017-03-16 Created: 2017-03-16 Last updated: 2017-06-13Bibliographically approved

Open Access in DiVA

Nonintegrable discrete-time driftless control systems: geometric phases beyond the area rule(361 kB)35 downloads
File information
File name FULLTEXT02.pdfFile size 361 kBChecksum SHA-512
1888bbbf38ddd5b3cfde079e90d8d54eb6761aadda6d1618c064f86022b8aa2abdfe5d26867e128fbbed09fd4149b6326216c7820b2f295c77b13c810da2e209
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Search in DiVA

By author/editor
Altafini, Claudio
By organisation
Automatic ControlFaculty of Science & Engineering
Control Engineering

Search outside of DiVA

GoogleGoogle Scholar
Total: 35 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

doi
isbn
urn-nbn

Altmetric score

doi
isbn
urn-nbn
Total: 172 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • 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
v. 2.34-SNAPSHOT
|