[en] This paper is concerned with the global analysis of asymptotic synchronization of outputs in networks of identical oscillators. The oscillator models are assumed to possess a cyclic feedback structure. Such networks of oscillators abound in biochemistry, and are exemplified by circadian rhythm and cardiac cell networks. The main result exploits an incremental output feedback passivity property of cyclic feedback systems to prove global asymptotic output synchronization in a network composed of identical cyclic feedback systems. This result is illustrated on a network of Goodwin oscillators.
Disciplines :
Sciences du vivant: Multidisciplinaire, généralités & autres
Auteur, co-auteur :
Guy-Bart, S.
Abdullah, H.
Rodolphe, S.
GONCALVES, Jorge ; University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB)
Langue du document :
Anglais
Titre :
Output synchronisation in networks of cyclic biochemical oscillators
Date de publication/diffusion :
2007
Nom de la manifestation :
2007 American Control Conference (ACC 2007)
Lieu de la manifestation :
New York, Etats-Unis
Date de la manifestation :
9-13 July 2007
Titre de l'ouvrage principal :
Proceedings of the 2007 American Control Conference (ACC 2007)
