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.TH copfac 1 "April 1993" "Scilab Group" "Scilab Function"
.so ../sci.an
.SH NAME
copfac - right coprime factorization
.SH CALLING SEQUENCE
.nf
[N,M,XT,YT]=copfac(G [,polf,polc,tol])
.fi
.SH PARAMETERS
.TP 12
G
: \fVsyslin\fR list (continuous-time linear system )
.TP
polf, polc
: respectively the poles of \fVXT\fR and \fVYT\fR and the poles of \fVn\fR
and \fVM\fR (default values =-1).
.TP
tol
: real threshold for detecting stable poles (default value \fV100*%eps\fR)
.TP
N,M,XT,YT
: linear systems represented by \fVsyslin\fR lists
.SH DESCRIPTION
.Vb [N,M,XT,YT]=copfac(G,[polf,polc,[tol]])
returns a right coprime factorization of \fVG\fR.
.LP
\fVG = N*M^-1\fR where \fVN\fR and \fVM\fR are stable, proper and right coprime.
(i.e. \fV[N M]\fR left-invertible with stability)
.LP
\fVXT\fR and \fVYT\fR satisfy:
.LP
\fV[XT -YT].[M N]' = eye\fR (Bezout identity)
.LP
\fVG\fR is assumed stabilizable and detectable.
.SH SEE ALSO
syslin, lcf
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