Mercurial > hg > octave-lojdl
diff scripts/control/lyap.m @ 2303:5cffc4b8de57
[project @ 1996-06-24 09:15:24 by jwe]
author | jwe |
---|---|
date | Mon, 24 Jun 1996 09:15:24 +0000 |
parents | 5d29638dd524 |
children | 2b5788792cad |
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--- a/scripts/control/lyap.m +++ b/scripts/control/lyap.m @@ -1,48 +1,49 @@ -# Copyright (C) 1996 John W. Eaton -# -# This file is part of Octave. -# -# Octave is free software; you can redistribute it and/or modify it -# under the terms of the GNU General Public License as published by the -# Free Software Foundation; either version 2, or (at your option) any -# later version. -# -# Octave is distributed in the hope that it will be useful, but WITHOUT -# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or -# FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License -# for more details. -# -# You should have received a copy of the GNU General Public License -# along with Octave; see the file COPYING. If not, write to the Free -# Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. +### Copyright (C) 1996 John W. Eaton +### +### This file is part of Octave. +### +### Octave is free software; you can redistribute it and/or modify it +### under the terms of the GNU General Public License as published by +### the Free Software Foundation; either version 2, or (at your option) +### any later version. +### +### Octave is distributed in the hope that it will be useful, but +### WITHOUT ANY WARRANTY; without even the implied warranty of +### MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +### General Public License for more details. +### +### You should have received a copy of the GNU General Public License +### along with Octave; see the file COPYING. If not, write to the Free +### Software Foundation, 59 Temple Place - Suite 330, Boston, MA +### 02111-1307, USA. function x = lyap (a, b, c) -# Usage: x = lyap (a, b {,c}) -# -# If (a, b, c) are specified, then lyap returns the solution of the -# Sylvester equation -# -# a x + x b + c = 0 -# -# If only (a, b) are specified, then lyap returns the solution of the -# Lyapunov equation -# -# a' x + x a + b = 0 -# -# If b is not square, then lyap returns the solution of either -# -# a' x + x a + b' b = 0 -# -# or -# -# a x + x a' + b b' = 0 -# -# whichever is appropriate. -# -# Solves by using the Bartels-Stewart algorithm (1972). + ## Usage: x = lyap (a, b {,c}) + ## + ## If (a, b, c) are specified, then lyap returns the solution of the + ## Sylvester equation + ## + ## a x + x b + c = 0 + ## + ## If only (a, b) are specified, then lyap returns the solution of the + ## Lyapunov equation + ## + ## a' x + x a + b = 0 + ## + ## If b is not square, then lyap returns the solution of either + ## + ## a' x + x a + b' b = 0 + ## + ## or + ## + ## a x + x a' + b b' = 0 + ## + ## whichever is appropriate. + ## + ## Solves by using the Bartels-Stewart algorithm (1972). -# Written by A. S. Hodel (scotte@eng.auburn.edu) August 1993. + ## Written by A. S. Hodel (scotte@eng.auburn.edu) August 1993. if (nargin != 3 && nargin != 2) @@ -55,18 +56,18 @@ if (nargin == 2) -# Transform Lyapunov equation to Sylvester equation form. + ## Transform Lyapunov equation to Sylvester equation form. if ((m = is_square (b)) == 0) if ((m = rows (b)) == n) -# solve a x + x a' + b b' = 0 + ## solve a x + x a' + b b' = 0 b = b * b'; a = a'; else -# Try to solve a'x + x a + b' b = 0. + ## Try to solve a'x + x a + b' b = 0. m = columns (b); b = b' * b; @@ -77,7 +78,7 @@ endif endif -# Set up Sylvester equation. + ## Set up Sylvester equation. c = b; b = a; @@ -85,7 +86,7 @@ else -# Check dimensions. + ## Check dimensions. if ((m = is_square (b)) == 0) error ("lyap: b must be square in a sylvester equation"); @@ -98,7 +99,7 @@ endif endif -# Call octave built-in function. + ## Call octave built-in function. x = syl (a, b, c);