Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 52, Issue 2, Pages 256-270Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2006.890471
Keywords
global limit cycle analysis; global synchronization; Hopf and pitchfork bifurcations; networks of oscillators
Funding
- Engineering and Physical Sciences Research Council [EP/E02761X/1] Funding Source: researchfish
- EPSRC [EP/E02761X/1] Funding Source: UKRI
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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.
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