Stability analysis; limit cycles; networks of oscillators
Abstract :
[en] This paper is concerned with the global analysis of synchrone oscillations
in special networks of oscillators. In previous work, we de ned a class of highdimensional,
parameter-dependent nonlinear systems exhibiting almost globally
asymptotically stable limit cycle oscillations. In this paper, we show how (incremental)
dissipativity may be used to extend the global analysis of limit cycle
oscillations to networks of coupled identical systems.
Disciplines :
Electrical & electronics engineering
Author, co-author :
Stan, Guy-Bart; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore)
Sepulchre, Rodolphe ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation
Language :
English
Title :
DISSIPATIVITY AND GLOBAL ANALYSIS OF LIMIT CYCLES IN NETWORKS OF OSCILLATORS
Publication date :
July 2004
Event name :
16th Symposium on Mathematical Theory of Networks and Systems
Event place :
Leuven, Belgium
Event date :
du 5 au 9 juillet 2004
By request :
Yes
Audience :
International
Main work title :
Proceedings of the 16th Symposium on Mathematical Theory of Networks and Systems