CUED Publications database

Analysis of interconnected oscillators by dissipativity theory

Stan, G-B and Sepulchre, R (2007) Analysis of interconnected oscillators by dissipativity theory. IEEE Transactions on Automatic Control, 52. pp. 256-270. ISSN 0018-9286

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Abstract

This paper employs dissipativity theory for the global analysis of limit cycles in particular dynamical systems of possibly high dimension. Oscillators are regarded as open systems that satisfy a particular dissipation inequality. It is shown that this characterization has implications for the global stability analysis of limit cycle oscillations: i) in isolated oscillators, ii) in interconnections of oscillators, and iii) for the global synchrony analysis in interconnections of identical oscillators. © 2007 IEEE.

Item Type: Article
Uncontrolled Keywords: Global limit cycle analysis Global synchronization Hopf and pitchfork bifurcations Networks of oscillators
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 11:25
Last Modified: 08 Dec 2014 02:14
DOI: 10.1109/TAC.2006.890471