Approximate predictability for pseudo–metric systems

In this contribution, we introduce the notion of approximate predictability for the general class of pseudo–metric systems, which are a powerful modeling framework to deal with complex heterogeneous systems such as hybrid systems. Approximate predictability corresponds to the possibility of predicting the occurrence of specific states belonging to a particular subset of interest, in advance with respect to their occurrence, on the basis of observations. We establish a relation between approximate predictability of a given pseudo–metric system and approximate predictability of a pseudo–metric system that approximately simulates the given one.