view scripts/control/gram.m @ 3397:1a8e2c0d627a

[project @ 1999-12-18 03:02:18 by jwe]
author jwe
date Sat, 18 Dec 1999 03:02:45 +0000
parents 10f21f7ccc7f
children 0f515bc98460
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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 } { @var{m} =} gram (@var{a}, @var{b})
##  Return controllability grammian @var{m} of the continuous time system
## @math{ dx/dt = a x + b u}.  
## 
## @var{m} satisfies @math{ a m + m a' + b b' = 0 }.
## @end deftypefn

## Written by A. S. Hodel 

function m = gram (a, b)

  ## let lyap do the error checking...
  m = lyap(a,b*b');

endfunction