hankelsv

Scilab Function
Last update : April 1993

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` = 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`, `equil`, `equil1`,