annotate scripts/control/base/gram.m @ 4462:3e48e60a1f8b

[project @ 2003-07-12 03:31:41 by jwe]
author jwe
date Sat, 12 Jul 2003 03:31:41 +0000
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1 ## Copyright (C) 1996 Auburn University. All rights reserved.
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2 ##
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3 ## This file is part of Octave.
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4 ##
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5 ## Octave is free software; you can redistribute it and/or modify it
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6 ## under the terms of the GNU General Public License as published by the
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7 ## Free Software Foundation; either version 2, or (at your option) any
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8 ## later version.
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9 ##
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10 ## Octave is distributed in the hope that it will be useful, but WITHOUT
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11 ## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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12 ## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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13 ## for more details.
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14 ##
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15 ## You should have received a copy of the GNU General Public License
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16 ## along with Octave; see the file COPYING. If not, write to the Free
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17 ## Software Foundation, 59 Temple Place, Suite 330, Boston, MA 02111 USA.
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18
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19 ## -*- texinfo -*-
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20 ## @deftypefn {Function File} {} gram (@var{a}, @var{b})
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21 ## Return controllability grammian @var{m} of the continuous time system
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22 ## @math{dx/dt = a x + b u}.
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23 ##
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24 ## @var{m} satisfies @math{a m + m a' + b b' = 0}.
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25 ## @end deftypefn
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27 ## Author: A. S. Hodel <a.s.hodel@eng.auburn.edu>
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29 function m = gram (a, b)
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31 ## Let lyap do the error checking...
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33 m = lyap (a, b*b');
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34
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35 endfunction