Robust stability of nonlinear piecewise deterministic systems under matching conditions

This paper deals with the robustness of the class of nonlinear piecewise deterministic systems with unknown but bounded uncertainties. Under the assumption that all the modes of the markovian jump process (disturbance) communicate, the complete access to the system state 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.

Mots clés

• nonlinear piecewise deterministic system
• stochastic stability
• Markov process
• matching conditions.