Observability analysis for structured bilinear systems: a graph-theoretic approach. (English) Zbl 1129.93331

Boukhobza, T.; Hamelin, F.

Automatica 43, No. 11, 1968-1974 (2007).

Summary: 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.

MSC:

93B07	Observability
93B18	Linearizations
93B25	Algebraic methods
93C10	Nonlinear systems in control theory
05C20	Directed graphs (digraphs), tournaments

Keywords:

structured bilinear systems; generic observability; graph theory

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