Observability analysis for structured bilinear systems: a graph-theoretic approach

Taha Boukhobza (1) , Frédéric Hamelin (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

This paper is devoted to the generic observability analysis for structured bilinear systems using a graph-theoretic approach. On the basis of a digraph representation, we express in graphic terms the necessary and sufficient conditions for the generic observability of structured bilinear systems. These conditions have an intuitive interpretation and are easy to check by hand for small systems and by means of well-known combinatorial techniques for large scale systems.

Mots clés: Structured bilinear systems; generic observability; graph theory

Domaines: Automatique / Robotique

Taha Boukhobza, Frédéric Hamelin. Observability analysis for structured bilinear systems: a graph-theoretic approach. Automatica, 2007, 43 (11), pp.1968-1974. ⟨10.1016/j.automatica.2007.03.010⟩. ⟨hal-00159428⟩