Application of impulse differential inclusion for uncertainty analysis of mechatronic hybrid system

Dynamic systems are often modeled by differential equations. A good way to model uncertainty of components is to use differential inclusions. Parameters' variation may be small or large in depends on the nature of problem if it is tolerancing problem or sizing one. Our researches are based both on works of Raczyński on differential inclusion used as a simulation tool and Aubin who introduced impulse differential inclusion as a framework to model hybrid system. We have developed an algorithm to get different sets defined by Aubin. We proceed on an application of an impulse differential inclusion of a mechatronic system modeled by a hybrid automaton.