Rapisarda, Paolo and van der Schaft, Arjan
State maps from bilinear differential forms.
In, MTNS 2010, Budapest, Hungary,
05 - 09 Jul 2010.
State equations need often to be constructed from a higher-order model of a system, resulting for example from the interconnection of subsystems, or from system identification procedures. In order to compute state equations it is crucial to choose a state variable. One way of doing this is through the computation of a state map. In this paper we develop an alternative approach to the algebraic characterization of state maps, based on the calculus of bilinear differential forms. From this approach stem a new algorithm for the computation of state maps, and some new results regarding symmetries of linear dynamical systems.
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