Change search
ReferencesLink to record
Permanent link

Direct link
A Nyquist criterion for synchronization in networks of heterogeneous linear systems
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2010 (English)In: 2nd IFAC Workshop on Distributed Estimation and Control in Networked Systems, IFAC Papers Online, 2010, 103-108 p.Conference paper (Refereed)
Abstract [en]

We study the synchronization of a set of SISO subsystems interconnected via a time-invariant Laplacian matrix. By synchronization we mean that the outputs of all subsystems must be asymptotically equal to each other and behave in the same manner. We assume that the subsystems can be represented as the sum of a common nonzero transfer function plus a perturbation. A Nyquist-type criterion is established which ensures synchronization provided that the convex hull of the frequency responses of the subsystems does not intersect a certain region defined by the spectrum of the interconnection matrix. The result is applied to a variety of examples of different nature for which synchronization takes place. A counter example for which complete synchronization is impossible is also presented.

Place, publisher, year, edition, pages
IFAC Papers Online, 2010. 103-108 p.
, IFAC Proceedings Volumes (IFAC-PapersOnline), ISSN 1474-6670
Keyword [en]
Complete synchronization, Convex hull, Interconnection matrices, Laplacian matrices, Nyquist criteria, Time invariants, Frequency response, Linear systems, Matrix algebra, Synchronization
National Category
Other Computer and Information Science
URN: urn:nbn:se:kth:diva-150271DOI: 10.3182/20100913-2-FR-4014.00015ScopusID: 2-s2.0-80051944123ISBN: 978-390266182-1OAI: diva2:744504
2nd IFAC Workshop on Distributed Estimation and Control in Networked Systems, NecSys'10, 13 September 2010 through 14 September 2010, Annecy, France

QC 20140908

Available from: 2014-09-08 Created: 2014-09-01 Last updated: 2014-09-08Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Jönsson, Ulf T.
By organisation
Optimization and Systems Theory
Other Computer and Information Science

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: 17 hits
ReferencesLink to record
Permanent link

Direct link