Analysis of interconnected oscillators by dissipativity theory

Stan, G. B.; Sepulchre, Rodolphe

doi:10.1109/TAC.2006.890471

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Analysis of interconnected oscillators by dissipativity theory

Stan, G. B.; Sepulchre, Rodolphe

2007 • In IEEE Transactions on Automatic Control, 52 (2), p. 256-270

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https://hdl.handle.net/2268/33235

DOI
10.1109/TAC.2006.890471

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Keywords :

global limit cycle analysis; global synchronization; Hopf and pitchfork bifurcations; networks of oscillators

Abstract :

[en] 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.

Disciplines :

Electrical & electronics engineering
Computer science

Author, co-author :

Stan, G. B.

Sepulchre, Rodolphe ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation

Language :

English

Title :

Analysis of interconnected oscillators by dissipativity theory

Publication date :

February 2007

Journal title :

IEEE Transactions on Automatic Control

ISSN :

0018-9286

Publisher :

Ieee-Inst Electrical Electronics Engineers Inc, Piscataway, United States - New Jersey

Volume :

Issue :

Pages :

256-270

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 21 December 2009

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240

Scopus citations^®
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216

OpenCitations

205

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