Ueber die Anzahl der Parameter von MehrogroeBensystemen (The Expression of Parameters of Multivariate Systems,
DEUTSCHE FORSCHUNGS- UND VERSUCHSANSTALT FUER LUFT- UND RAUMFAHRT E V OBERPFAFFENHOFEN (WEST GERMANY)
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An n-th order linear system with r inputs and s outputs can always be described by at most nr s parameters. It is shown, how this number is reduced, if minimal controllability or minimal observability is assumed. It follows from this, that the requirement of minimal observability is a too stringent condition for the existence of the canonical form of Bucy. The necessary and sufficient conditions for the existence of this form are shown, a unique structure of this form with the minimum number of parameters is determined and finally the form is extended such that it exists without restrictions. In this extended form at most nr s parameters are needed to describe the system.
- Statistics and Probability