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A continuous-time dynamical system that can sort agents through distributed protocols
Linköpings universitet, Institutionen för systemteknik, Reglerteknik. Linköpings universitet, Tekniska fakulteten.ORCID-id: 0000-0003-4142-6502
2014 (engelsk)Inngår i: 2014 IEEEMulti-conference on Systems and Control, Antibes, France: Institute of Electrical and Electronics Engineers (IEEE), 2014, s. 2153-2158Konferansepaper, Publicerat paper (Fagfellevurdert)
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.

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Antibes, France: Institute of Electrical and Electronics Engineers (IEEE), 2014. s. 2153-2158
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URN: urn:nbn:se:liu:diva-120910DOI: 10.1109/CCA.2014.6981621ISBN: 978-147997409-2 (tryckt)OAI: oai:DiVA.org:liu-120910DiVA, id: diva2:849580
Konferanse
2014 IEEE Multi-conference on Systems and Control
Tilgjengelig fra: 2015-08-28 Laget: 2015-08-28 Sist oppdatert: 2016-06-10

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