Notes on Contraction Theory

Nicolas Tabareau (1, 2) , Jean-Jacques Slotine (2)

1 LPPA - Laboratoire de Physiologie de la Perception et de l'Action
2 NSL - Nonlinear System Laboratory

These notes derive a number of technical results on nonlinear contraction theory, a comparatively recent tool for system stability analysis. In particular, they provide new results on the preservation of contraction through system combinations, a property of interest in modelling biological systems.

Mots clés: contraction theory; centralized feedback; hierarchies; attractors

Domaines: Adaptation et Systèmes auto-organisés [nlin.AO]

Nicolas Tabareau, Jean-Jacques Slotine. Notes on Contraction Theory. 2006. ⟨hal-00016453v2⟩