[en] This paper starts by presenting local stability conditions for limit cycles of piecewise linear systems (PLS), based on analyzing the linear part of Poincare maps. Local stability guarantees the existence of an asymptotically stable neighborhood around the limit cycle. However, tools to characterize such neighborhood do not exist. This work gives conditions in the form of LMIs that guarantee asymptotic stability of PLS in a reasonably large region around a limit cycle, based on recent results on impact maps and surface Lyapunov functions (SuLF). These are exemplified with a biological application: a 4th-order neural oscillator, also used in many robotics applications like, for example, juggling and locomotion.
Disciplines :
Ingénierie, informatique & technologie: Multidisciplinaire, généralités & autres
Auteur, co-auteur :
GONCALVES, Jorge ; University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB)
Langue du document :
Anglais
Titre :
Regions of Stability for Limit Cycles of Piecewise Linear Systems
Date de publication/diffusion :
2003
Nom de la manifestation :
42th IEEE Conference on Decision and Control
Lieu de la manifestation :
Maui, Etats-Unis - Hawaï
Date de la manifestation :
9-12 December 2003
Titre de l'ouvrage principal :
Proceedings of the 42th IEEE Conference on Decision and Control
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