Accession Number : AD0725793

Title :   Ueber die Anzahl der Parameter von MehrogroeBensystemen (The Expression of Parameters of Multivariate Systems,

Corporate Author : DEUTSCHE FORSCHUNGS- UND VERSUCHSANSTALT FUER LUFT- UND RAUMFAHRT E V OBERPFAFFENHOFEN (WEST GERMANY)

Personal Author(s) : Bucy,R. S. ; Ackermann,J.

Report Date : 1970

Pagination or Media Count : 3

Abstract : An n-th order linear system with r inputs and s outputs can always be described by at most n(r + 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 n(r + s) parameters are needed to describe the system.

Descriptors :   (*CONTROL SYSTEMS, MATHEMATICAL MODELS), LINEAR SYSTEMS, MATRICES(MATHEMATICS), MULTIVARIATE ANALYSIS, WEST GERMANY

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE