(1) Mechanical Engineering Department, École Polytechnique de Montréal, Station Centre-Ville, Montréal, Québec, Canada;(2) Mechanical Engineering Department, École Polytechnique de Montréal, Station Centre-Ville, Montréal, Québec, Canada
Abstract:
This paper deals with the robustness of the class of nonlinear systems with Markovian jumping parameters and unknown but bounded uncertainties. Under the assumption that the Markovian jump process (disturbance) is irreducible and under complete access to the system state and its mode, we establish robust stability results in two cases: (i) under matching conditions; and (ii) under bounded uncertainties.Research of this author was supported by the Natural Sciences and Engineering Research Council of Canada under Grant OGP0036444