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Static diffusive couplings in heterogeneous linear networks
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-7309-8086
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-9940-5929
2012 (English)In: Estimation and Control of Networked Systems, Volume 3, Part 1, 2012, 258-263 p.Conference paper, Published paper (Refereed)
Abstract [en]

Recently, necessary and sufficient conditions for output synchronization of linear systems via diffusive couplings have been reported. In this paper, we study the case when such conditions are not satisfied and exact synchronization is impossible. In particular, we study two kinds of heterogeneous linear networks: (i) non-identical harmonic oscillators and (ii) double-integrators. We show that static diffusive couplings render heterogeneous networks of harmonic oscillators asymptotically stable. Networks of non-identical double-integrators, in contrast, are not asymptotically stable but synchronize with bounded synchronization error depending on the network topology and the heterogeneity in the agent dynamics. Numerical examples illustrate the results.

Place, publisher, year, edition, pages
2012. 258-263 p.
Series
IFAC Proceedings Volumes (IFAC-PapersOnline), ISSN 1474-6670
Keyword [en]
Couplings, Electric network topology, Heterogeneous networks, Linear systems, Oscillators (mechanical), Synchronization
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:kth:diva-111465DOI: 10.3182/20120914-2-US-4030.00041Scopus ID: 2-s2.0-84881013460ISBN: 978-390282322-9 (print)OAI: oai:DiVA.org:kth-111465DiVA: diva2:586466
Conference
3rd IFAC Workshop on Distributed Estimation and Control in Networked Systems, NECSYS 2012; Santa Barbara, CA; United States; 14 September 2012 through 15 September 2012
Note

QC 20130215

Available from: 2013-02-15 Created: 2013-01-11 Last updated: 2013-10-07Bibliographically approved

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Dimarogonas, Dimos V.Johansson, Karl Henrik

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