annotate scripts/control/gram.m @ 3346:8dd4718801fd

[project @ 1999-11-09 18:18:12 by jwe]
author jwe
date Tue, 09 Nov 1999 18:18:37 +0000
parents f7e4a95916f2
children 69b167451491
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
3279
6dd06d525de6 [project @ 1999-10-12 16:52:40 by jwe]
jwe
parents: 3236
diff changeset
1 # Copyright (C) 1996 Auburn University. All Rights Reserved
3213
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
2 #
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
3 # This file is part of Octave.
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
4 #
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
5 # Octave is free software; you can redistribute it and/or modify it
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
6 # under the terms of the GNU General Public License as published by the
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
7 # Free Software Foundation; either version 2, or (at your option) any
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
8 # later version.
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
9 #
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
10 # Octave is distributed in the hope that it will be useful, but WITHOUT
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
11 # ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
12 # FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
13 # for more details.
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
14 #
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
15 # You should have received a copy of the GNU General Public License
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
16 # along with Octave; see the file COPYING. If not, write to the Free
3284
f7e4a95916f2 [project @ 1999-10-13 21:37:04 by jwe]
jwe
parents: 3279
diff changeset
17 # Software Foundation, 59 Temple Place, Suite 330, Boston, MA 02111 USA.
3213
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
18
3346
8dd4718801fd [project @ 1999-11-09 18:18:12 by jwe]
jwe
parents: 3284
diff changeset
19 ## -*- texinfo -*-
8dd4718801fd [project @ 1999-11-09 18:18:12 by jwe]
jwe
parents: 3284
diff changeset
20 ## @deftypefn {Function File } { @var{m} =} gram (@var{a}, @var{b})
8dd4718801fd [project @ 1999-11-09 18:18:12 by jwe]
jwe
parents: 3284
diff changeset
21 ## Return controllability grammian @var{m} of the continuous time system
8dd4718801fd [project @ 1999-11-09 18:18:12 by jwe]
jwe
parents: 3284
diff changeset
22 ## @math{ dx/dt = a x + b u}.
8dd4718801fd [project @ 1999-11-09 18:18:12 by jwe]
jwe
parents: 3284
diff changeset
23 ##
8dd4718801fd [project @ 1999-11-09 18:18:12 by jwe]
jwe
parents: 3284
diff changeset
24 ## @var{m} satisfies @math{ a m + m a' + b b' = 0 }.
8dd4718801fd [project @ 1999-11-09 18:18:12 by jwe]
jwe
parents: 3284
diff changeset
25 ## @end deftypefn
8dd4718801fd [project @ 1999-11-09 18:18:12 by jwe]
jwe
parents: 3284
diff changeset
26
3213
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
27 function m = gram(a,b)
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
28 # Written by A. S. Hodel
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
29
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
30 # let lyap do the error checking...
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
31 m = lyap(a,b*b');
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
32 endfunction