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1 ## Copyright (C) 1996, 2000, 2003, 2004, 2005, 2007 |
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2 ## Auburn University. All rights reserved. |
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3 ## |
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4 ## This file is part of Octave. |
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5 ## |
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6 ## Octave is free software; you can redistribute it and/or modify it |
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7 ## under the terms of the GNU General Public License as published by |
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8 ## the Free Software Foundation; either version 3 of the License, or (at |
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9 ## your option) any later version. |
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10 ## |
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11 ## Octave is distributed in the hope that it will be useful, but |
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12 ## WITHOUT ANY WARRANTY; without even the implied warranty of |
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13 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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14 ## General Public License for more details. |
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15 ## |
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16 ## You should have received a copy of the GNU General Public License |
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17 ## along with Octave; see the file COPYING. If not, see |
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18 ## <http://www.gnu.org/licenses/>. |
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19 |
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20 ## -*- texinfo -*- |
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21 ## @deftypefn {Function File} {} gram (@var{a}, @var{b}) |
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22 ## Return controllability gramian @var{m} of the continuous time system |
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23 ## @math{dx/dt = a x + b u}. |
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24 ## |
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25 ## @var{m} satisfies @math{a m + m a' + b b' = 0}. |
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26 ## @end deftypefn |
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27 |
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28 ## Author: A. S. Hodel <a.s.hodel@eng.auburn.edu> |
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29 |
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30 function m = gram (a, b) |
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31 |
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32 if (nargin != 2) |
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33 print_usage (); |
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34 endif |
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35 |
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36 ## Let lyap do the error checking... |
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37 |
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38 m = lyap (a, b*b'); |
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39 |
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40 endfunction |