annotate scripts/control/gram.m @ 3381:69b167451491

[project @ 1999-12-15 20:48:10 by jwe]
author jwe
date Wed, 15 Dec 1999 20:48:45 +0000
parents 8dd4718801fd
children 10f21f7ccc7f
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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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19 ## -*- texinfo -*-
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20 ## @deftypefn {Function File } { @var{m} =} 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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26
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27 function m = gram(a,b)
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28
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29 ## Written by A. S. Hodel
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30
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31 ## let lyap do the error checking...
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32 m = lyap(a,b*b');
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33 endfunction