/usr/share/octave/packages/control-2.6.2/obsv.m is in octave-control 2.6.2-1build1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 | ## Copyright (C) 2009-2014 Lukas F. Reichlin
## Copyright (C) 2009 Luca Favatella <slackydeb@gmail.com>
##
## This file is part of LTI Syncope.
##
## LTI Syncope 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 3 of the License, or
## (at your option) any later version.
##
## LTI Syncope 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 LTI Syncope. If not, see <http://www.gnu.org/licenses/>.
## -*- texinfo -*-
## @deftypefn {Function File} {@var{ob} =} obsv (@var{sys})
## @deftypefnx {Function File} {@var{ob} =} obsv (@var{a}, @var{c})
## Return observability matrix.
##
## @strong{Inputs}
## @table @var
## @item sys
## @acronym{LTI} model.
## @item a
## State matrix (n-by-n).
## @item c
## Measurement matrix (p-by-n).
## @end table
##
## @strong{Outputs}
## @table @var
## @item ob
## Observability matrix.
## @end table
##
## @strong{Equation}
## @iftex
## @tex
## $$ O_b = \\left[ \\matrix{ C \\cr
## CA \\cr
## CA^2 \\cr
## \\vdots \\cr
## CA^{n-1} } \\right ] $$
## @end tex
## @end iftex
## @ifnottex
## @example
## @group
## | C |
## | CA |
## Ob = | CA^2 |
## | ... |
## | CA^(n-1) |
## @end group
## @end example
## @end ifnottex
## @end deftypefn
## Author: Lukas Reichlin <lukas.reichlin@gmail.com>
## Created: October 2009
## Version: 0.2
function ob = obsv (a, c)
if (nargin == 1) # obsv (sys)
ob = ctrb (a.').'; # transpose is overloaded for lti models
elseif (nargin == 2) # obsv (a, c)
ob = ctrb (a.', c.').'; # size checked inside
else
print_usage ();
endif
endfunction
%!assert (obsv ([1, 0; 0, -0.5], [8, 8]), [8, 8; 8, -4]);
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