	Control Group

University of Cambridge > Department of Engineering > Control Group > Publications > Publication

Dissipativity characterization of a class of oscillators and networks of oscillators

Stan G.B. and Sepulchre R.

Proceedings of the 42nd IEEE Conference on Decision and Control (IEEE-CDC 2003), Pages 4169--4173, December 2003

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.

BibTex Entry

@InProceedings{,: author = {Stan G.B. and Sepulchre R.},; title = {Dissipativity characterization of a class of oscillators and networks of oscillators},; address = {Maui, Hawaii, USA},; booktitle = {Proceedings of the 42nd IEEE Conference on Decision and Control (IEEE-CDC 2003)},; month = {December},; pages = {4169--4173},; year = {2003}
}



© 2004 Control Group, Department of Engineering, University of Cambridge www-control-admin@eng.cam.ac.uk