Network topology and synchronization of systems with linear time-delayed coupling

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We consider networks of square input–output systems that interact via linear, time-delayed coupling functions. For given system dynamics, we give conditions for the construction of a (local, global) synchronization diagram. We show that a condition for (local, global) synchronization is that the coupling strength and time-delay are contained in the intersection of scaled copies of the (local, global) synchronization diagram, where the scaling factors are the nonzero eigenvalues of the symmetric Laplacian matrix.
Original languageEnglish
Title of host publicationMathematical Control Theory I
Subtitle of host publicationNonlinear and Hybrid Control Systems
EditorsM.K. Camlibel , A.A. Julius, R. Pasumarthy , J.M.A. Scherpen
Place of PublicationBerlin
Number of pages21
ISBN (Electronic)978-3-319-20988-3
ISBN (Print)978-3-319-20987-6
Publication statusPublished - 2015

Publication series

NameLecture Notes in Control and Information Sciences
ISSN (Print)0170-8643


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