Groupe d’études et de recherche en analyse des décisions

G-93-33

Robust Stability of Linear Piecewise Deterministic Systems Under Matching Conditions

This paper deals with the robustness of the class of linear piecewise deterministic systems with unknown but bounded uncertainties. Under the assumption of the irreductibility of the markovian jump process (disturbance) and the boundedness of the uncertainties, a sufficient condition for stochastic stability of this class of systems is given. An example is presented to validate the proposed results.

, 15 pages