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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
URN: urn:nbn:se:liu:diva-120910DOI: 10.1109/CCA.2014.6981621ISBN: 978-147997409-2OAI: diva2:849580
2014 IEEE Multi-conference on Systems and Control
Available from: 2015-08-28 Created: 2015-08-28 Last updated: 2016-06-10

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Altafini, Claudio
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Automatic ControlFaculty of Science & Engineering
Control Engineering

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