CUED Publications database

Dissipativity characterization of a class of oscillators and networks of oscillators

Stan, G-B and Sepulchre, R (2003) Dissipativity characterization of a class of oscillators and networks of oscillators. Proceedings of the IEEE Conference on Decision and Control, 4. pp. 4169-4173. ISSN 0191-2216

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Abstract

This paper uses dissipativity theory to provide the system-theoretic description of a basic oscillation mechanism. Elementary input-output tools are then used to prove the existence and stability of limit cycles in these "oscillators". The main benefit of the proposed approach is that it is well suited for the analysis and design of interconnections, thus providing a valuable mathematical tool for the study of networks of coupled oscillators.

Item Type: Article
Uncontrolled Keywords: Dissipativity HOPF bifurcation Limit cycles Networks of oscillators
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 11:46
Last Modified: 08 Dec 2014 02:25
DOI: