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Справка Scilab >> CACSD > hankelsv

hankelsv

Hankel singular values

Calling Sequence

[nk2,W]=hankelsv(sl [,tol])
[nk2]=hankelsv(sl [,tol])

Arguments

sl

syslin list representing the linear system (state-space).

tol

tolerance parameter for detecting imaginary axis modes (default value is 1000*%eps).

Description

returns nk2, the squared Hankel singular values of sl and W = P*Q = controllability gramian times observability gramian.

nk2 is the vector of eigenvalues of W.

Examples

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)

See Also

  • balreal — balanced realization
  • equil — balancing of pair of symmetric matrices
  • equil1 — balancing (nonnegative) pair of matrices
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Last updated:
Thu Oct 02 14:01:06 CEST 2014