Scilab Website | Contribute with GitLab | Mailing list archives | ATOMS toolboxes
Scilab Online Help
2025.0.0 - Français


rowinout

inner-outer factorization

Syntax

[Inn, X, Gbar] = rowinout(G)

Arguments

G

linear system (syslin list) [A,B,C,D]

Inn

inner factor (syslin list)

Gbar

outer factor (syslin list)

X

row-compressor of G (syslin list)

Description

Inner-outer factorization (and row compression) of (lxp) G =[A,B,C,D] with l>=p.

G is assumed to be tall (l>=p) without zero on the imaginary axis and with a D matrix which is full column rank.

G must also be stable for having Gbar stable.

G admits the following inner-outer factorization:

 G = [ Inn ] | Gbar |
             |  0   |

where Inn is square and inner (all pass and stable) and Gbar square and outer i.e: Gbar is square bi-proper and bi-stable (Gbar inverse is also proper and stable);

Note that:

      [ Gbar ]
X*G = [  -   ]
      [  0   ]

is a row compression of G where X = Inn inverse is all-pass i.e: Xt(-s).X(s) = Identity (for the continuous time case).

See also

  • syslin — définition d'un système dynamique linéaire
  • colinout — inner-outer factorization
Report an issue
<< lcf Factorisation de Systèmes Linéaires specfact >>

Copyright (c) 2022-2024 (Dassault Systèmes)
Copyright (c) 2017-2022 (ESI Group)
Copyright (c) 2011-2017 (Scilab Enterprises)
Copyright (c) 1989-2012 (INRIA)
Copyright (c) 1989-2007 (ENPC)
with contributors
Last updated:
Thu Oct 24 11:15:58 CEST 2024