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.TH hankelsv 1 "April 1993" "Scilab Group" "Scilab Function"
.so ../sci.an
.SH NAME
hankelsv - Hankel singular values
.SH CALLING SEQUENCE
.nf
[nk2,W]=hankelsv(sl [,tol])
[nk2]=hankelsv(sl [,tol])
.fi
.SH PARAMETERS
.TP 10
sl
: \fVsyslin\fR list representing the linear system (state-space).
.TP
tol
: tolerance parameter for detecting imaginary axis modes
(default value is \fV1000*%eps\fR).
.SH DESCRIPTION
returns \fVnk2\fR, the squared Hankel singular values of \fVsl\fR
and \fVW = P*Q\fR = controllability gramian times observability
gramian.
.LP
\fVnk2\fR is the vector of eigenvalues of \fVW\fR.
.SH EXAMPLE
.nf
A=diag([-1,-2,-3]);
sl=syslin('c',A,rand(3,2),rand(2,3));[nk2,W]=hankelsv(sl)
[Q,M]=pbig(W,nk2(2)-%eps,'c');
slr=projsl(sl,Q,M);hankelsv(slr)
.fi
.SH SEE ALSO
balreal, equil, equil1
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