In this paper, we study the property of generic uniform observability for structured bilinear systems. More precisely, to check whether or not a structured bilinear system generically uniformly observable, we provide a group of necessary conditions and second group of sufficient ones. These conditions are expressed in quite simple graphic-terms. On the one hand, all the given conditions are easy to check because they deal with finding paths in a digraph. On the other hand, the proposed method is based on a graph-theoretic approach and assumes only the knowledge of the system's structure. This makes the suggested approach particularly well suited to study large scale systems or systems with unknown parameters, as it may be the case during a conception stage. Key words: Structured bilinear systems, generic uniform observability, graph theory.
T. Boukhobza