hankelsv(1)

NAME
hankelsv - Hankel singular values

CALLING SEQUENCE
[nk,W]=hankelsv(sl [,tol])
[nk]=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 nk, the Hankel singular values of sl and W = P*Q = controllability gramian times observability gramian.

nk is the vector of eigenvalues of W.

EXAMPLE
A=diag([-1,-2,-3]);
sl=syslin('c',A,rand(3,2),rand(2,3));[nk,W]=hankelsv(sl)
[Q,M]=pbig(W,nk(2)-%eps,'c');
slr=projsl(sl,Q,M);hankelsv(slr)

SEE ALSO
balreal, equil, equil1