Mercurial > hg > octave-nkf
view scripts/control/base/dgram.m @ 4939:22388c7625a0
[project @ 2004-08-10 04:33:51 by jwe]
author | jwe |
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date | Tue, 10 Aug 2004 04:33:51 +0000 |
parents | 3e48e60a1f8b |
children | bdbee5282954 |
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## Copyright (C) 1996 Auburn University. All rights reserved. ## ## 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 USA. ## -*- texinfo -*- ## @deftypefn {Function File} {} dgram (@var{a}, @var{b}) ## Return controllability grammian of discrete time system ## @example ## x(k+1) = a x(k) + b u(k) ## @end example ## ## @strong{Inputs} ## @table @var ## @item a ## @var{n} by @var{n} matrix ## @item b ## @var{n} by @var{m} matrix ## @end table ## ## @strong{Outputs} ## @var{m} (@var{n} by @var{n}) satisfies ## @example ## a m a' - m + b*b' = 0 ## @end example ## @end deftypefn ## Author: A. S. Hodel <a.s.hodel@eng.auburn.edu> ## Created: July 1995 function m = dgram (a, b) ## let dlyap do the error checking... m = dlyap (a, b*b'); endfunction