Scilab Home page | Wiki | Bug tracker | Forge | Mailing list archives | ATOMS | File exchange
Please login or create an account
Change language to: English - Français - Português - 日本語
Справка Scilab >> CACSD > Model Transformation > hankelsv

hankelsv

Hankel singular values

Syntax

[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
Scilab Enterprises
Copyright (c) 2011-2017 (Scilab Enterprises)
Copyright (c) 1989-2012 (INRIA)
Copyright (c) 1989-2007 (ENPC)
with contributors
Last updated:
Tue Feb 14 15:13:23 CET 2017