Some properties of Lyapunov function sets

Emmanuel Moulay (1)

1 SIC

The purpose of this paper is to study some geometrical and topological properties of Lyapunov function sets. These functions are very useful in control theory to solve stability problems. We focus our attention on the set of Lyapunov functions associated with continuous and discontinuous nonlinear systems.

Domaines: Optimisation et contrôle [math.OC]

Emmanuel Moulay. Some properties of Lyapunov function sets. Proceedings of the American Mathematical Society, 2010, 138 (11), pp.4067-4073. ⟨10.1090/S0002-9939-2010-10298-8⟩. ⟨hal-00551290⟩