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.TH minreal 1 "April 1993" "Scilab Group" "Scilab Function"
.so ../sci.an
.SH NAME
minreal - minimal balanced realization
.SH CALLING SEQUENCE
.nf
slb=minreal(sl [,tol])
.fi
.SH PARAMETERS
.TP 15
sl,slb
: \fVsyslin\fR lists
.TP 10
tol
: real (threshold)
.SH DESCRIPTION
\fV[ae,be,ce]=minreal(a,b,c,domain [,tol]) \fR
returns the balanced realization of linear
system \fVsl\fR (\fVsyslin\fR list).
.LP
\fVsl\fR is assumed stable.
.LP
\fVtol\fR threshold used in \fVequil1\fR.
.SH EXAMPLE
.nf
A=[-eye(2,2),rand(2,2);zeros(2,2),-2*eye(2,2)];
B=[rand(2,2);zeros(2,2)];C=rand(2,4);
sl=syslin('c',A,B,C);
slb=minreal(sl);
ss2tf(sl)
ss2tf(slb)
ctr_gram(sl)
clean(ctr_gram(slb))
clean(obs_gram(slb))
.fi
.SH SEE ALSO
minss, balreal, arhnk, equil, equil1
.SH AUTHOR
S. Steer INRIA 1987
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