liu.seSearch for publications in DiVA
Change search
ReferencesLink to record
Permanent link

Direct link
A continuous-time dynamical system that can sort agents through distributed protocols
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0003-4142-6502
2014 (English)In: 2014 IEEEMulti-conference on Systems and Control, Antibes, France: Institute of Electrical and Electronics Engineers (IEEE), 2014, 2153-2158 p.Conference paper (Refereed)
Abstract [en]

A class of continuous-time dynamical systems able to sort a list of real numbers is introduced in this paper. The dynamical sorting is achieved in a completely distributed manner, by modifying a consensus problem, namely right multiplying a Laplacian matrix by a diagonal matrix of weights that represents the desired order. The sorting obtained is relative, i.e., a conservation law is imposed on the dynamics. It is shown that sorting can be achieved in finite-time even in a globally smooth way.

Place, publisher, year, edition, pages
Antibes, France: Institute of Electrical and Electronics Engineers (IEEE), 2014. 2153-2158 p.
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-120910DOI: 10.1109/CCA.2014.6981621ISBN: 978-147997409-2OAI: oai:DiVA.org:liu-120910DiVA: diva2:849580
Conference
2014 IEEE Multi-conference on Systems and Control
Available from: 2015-08-28 Created: 2015-08-28 Last updated: 2016-06-10

Open Access in DiVA

No full text

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
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

Altmetric score

Total: 201 hits
ReferencesLink to record
Permanent link

Direct link