Emergence of oscillations in networks of time-delay coupled inert systems

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureHoofdstukAcademicpeer review

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Samenvatting

We discuss the emergence of oscillations in networks of single-input- single-output systems that interact via linear time-delay coupling functions.Although the systems itself are inert, that is, their solutions converge to a globally stable equilibrium, in the presence of coupling, the network of systems exhibits ongoing oscillatory activity.We address the problem of emergence of oscillations by deriving conditions for; 1. solutions of the time-delay coupled systems to be bounded, 2. the network equilibrium to be unique, and 3. the network equilibrium to be unstable. If these conditions are all satisfied, the time-delay coupled inert systems have a nontrivial oscillatory solution. In addition, we show that a necessary condition for the emergence of oscillations in such networks is that the considered systems are at least of second order.

Originele taal-2Engels
TitelNonlinear systems : techniques for dynamical analysis and control
RedacteurenNathan van de Wouw, Erjen Lefeber, Ines Lopez Arteaga
Plaats van productieBerlin
UitgeverijSpringer
Hoofdstuk7
Pagina's137-154
Aantal pagina's18
ISBN van elektronische versie978-3-319-30357-4
ISBN van geprinte versie978-3-319-30356-7
DOI's
StatusGepubliceerd - 2017
EvenementInternational workshop on Nonlinear Systems in honor of Henk Nijmeijer’s 60th birthday, 2016 - Eindhoven, Nederland
Duur: 21 jan 201621 jan 2016

Publicatie series

NaamLecture Notes in Control and Information Sciences
Volume470
ISSN van geprinte versie01708643

Congres

CongresInternational workshop on Nonlinear Systems in honor of Henk Nijmeijer’s 60th birthday, 2016
LandNederland
StadEindhoven
Periode21/01/1621/01/16

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