The notion of behaviors introduced by Willems gives a good description of dynamical systems without reference to any particular representation of the system in terms of equations. In this note, we introduce a notion of behaviors that allows us to describe singular systems in a very natural way. The new definition of behaviors given here is closely related to that of a sheaf over the projective line, and we make this connection precise.

, ,
Modelling, Analysis and Simulation [MAS]

Lomadze, V, Ravi, M.S, Rosenthal, J, & Schumacher, J.M. (1998). A behavioral approach to singular systems. Modelling, Analysis and Simulation [MAS]. CWI.