Analysis of Interconnected Oscillators by Dissipativity Theory

Guy-Bart Stan, Rodolphe Sepulchre
2007 IEEE Transactions on Automatic Control  
The paper employs dissipativity theory for 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 global stability analysis of limit cycle oscillations (i) in isolated oscillators, (ii) in interconnections of oscillators, and (iii) for global synchrony analysis in interconnections of identical oscillators.
more » ... al oscillators. Index Terms-Global limit cycle analysis, Hopf and pitchfork bifurcations, networks of oscillators, global synchronization.
doi:10.1109/tac.2006.890471 fatcat:rel3dqiinzbi5e2ykfr7xkoawm