DocumentCode
1116396
Title
Analysis of Interconnected Oscillators by Dissipativity Theory
Author
Stan, Guy-Bart ; Sepulchre, Rodolphe
Author_Institution
Dept. of Eng., Cambridge Univ.
Volume
52
Issue
2
fYear
2007
Firstpage
256
Lastpage
270
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
Keywords
control system analysis; limit cycles; oscillations; stability; time-varying systems; dissipation inequality; dissipativity theory; dynamical systems; global stability analysis; global synchrony analysis; interconnected oscillators; limit cycles; Bifurcation; Biological system modeling; Computational biology; Limit-cycles; Negative feedback; Open systems; Oscillators; Output feedback; Physics; Stability analysis; Global limit cycle analysis; Hopf and pitchfork bifurcations; global synchronization; networks of oscillators;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2006.890471
Filename
4099536
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