File: hankelsv.cat

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hankelsv(1)                    Scilab Function                    hankelsv(1)
NAME
  hankelsv - Hankel singular values

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

PARAMETERS

  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 = con-
  trollability gramian times observability gramian.

  nk2 is the vector of eigenvalues of W.

EXAMPLE
  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, equil, equil1