ROBUST STABILITY OF LINEAR PIECEWISE DETERMINISTIC SYSTEMS UNDER MATCHING CONDITIONS

摘要

This paper deals with the stochastic stability robustness of the class of linear piecewise deterministic systems with unknown but bounded uncertainties. Under the assumption that the system's uncertainties verify some matching conditions and are bounded, and that there is complete access to the state x(t) at each mode, a sufficient condition for stochastic stability of this class of systems is given.