In the present paper we study the stability of a threshold continuos-time model that belongs to the class of Piecewise Deterministic Markov Processes. We derive a sufficient condition on the coefficients of the model to ensure the exponential ergodicity of the process under two different...

We study the behaviour of the minimal sets of a sequence of convex sets An converging to a given set A. Under suitable assumptions involving only the structure of the single sets An, we obtain the lower convergence of MinAn to MinA. In a reflexive Banach space ordered by a closed convex cone...