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