STATE MAPS FOR LINEAR-SYSTEMS

Modeling of physical systems consists of writing the equations describ ing a phenomenon and yields as a result a set of differential-algebrai c equations. As such, state-space models are not a natural starting po int for modeling, while they have utmost importance in the simulation and control phase. The paper addresses the problem of computing state variables for systems of linear differential-algebraic equations of va rious forms. The point of view from which the problem is considered is the behavioral one, as put forward in [J. C. Willems, Automatica J. I FAC, 22 (1986), pp. 561-580; Dynamics Reported, 2 (1989), pp. 171-269; IEEE Trans. Automat. Control, 36 (1991), pp. 259-294].