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Synchronization under matrix-weighted Laplacian

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Nov 2016Embargo end date: 01 Jan 2014 English Publisher:Elsevier BVJournal:Automatica, volume 73, pages 76-81 (issn: 0005-1098, Copyright policy )
Authors: S. Emre Tuna;

doi: 10.1016/j.automatica.2016.06.012 , 10.48550/arxiv.1408.1588

arXiv: 1408.1588

Synchronization under matrix-weighted Laplacian

Abstract

Synchronization in a group of linear time-invariant systems is studied where the coupling between each pair of systems is characterized by a different output matrix. Simple methods are proposed to generate a (separate) linear coupling gain for each pair of systems, which ensures that all the solutions converge to a common trajectory. Both continuous-time and discrete-time cases are considered.

21 pages

Related Organizations
Keywords

Linear systems in control theory, matrix-weighted Laplacian matrix, FOS: Mathematics, Dynamical Systems (math.DS), Decentralized systems, Mathematics - Dynamical Systems, synchronization, Control/observation systems governed by ordinary differential equations

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    		 81
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
81
Top 1%
Top 10%
Top 10%
Green
bronze