/usr/share/octave/packages/control-2.6.2/obsvf.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 | ## Copyright (C) 2010 Benjamin Fernandez
## Copyright (C) 2009-2014 Lukas F. Reichlin
##
## 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{sysbar}, @var{T}, @var{K}] =} obsvf (@var{sys})
## @deftypefnx{Function File} {[@var{sysbar}, @var{T}, @var{K}] =} obsvf (@var{sys}, @var{tol})
## @deftypefnx{Function File} {[@var{Abar}, @var{Bbar}, @var{Cbar}, @var{T}, @var{K}] =} obsvf (@var{A}, @var{B}, @var{C})
## @deftypefnx{Function File} {[@var{Abar}, @var{Bbar}, @var{Cbar}, @var{T}, @var{K}] =} obsvf (@var{A}, @var{B}, @var{C}, @var{TOL})
## If Ob=obsv(A,C) has rank r <= n = SIZE(A,1), then there is a
## similarity transformation Tc such that To = [t1;t2] where t1 is c
## and t2 is orthogonal to t1
##
## @example
## @group
## Abar = To \\ A * To , Bbar = To \\ B , Cbar = C * To
## @end group
## @end example
##
## and the transformed system has the form
##
## @example
## @group
## | Ao 0 | | Bo |
## Abar = |----------|, Bbar = | --- |, Cbar = [Co | 0 ].
## | A21 Ano| | Bno |
## @end group
## @end example
##
## where (Ao,Bo) is observable, and Co(sI-Ao)^(-1)Bo = C(sI-A)^(-1)B. And
## system is detectable if Ano has no eigenvalues in the right
## half plane. The last output K is a vector of length n containing the
## number of observable states.
## @end deftypefn
## Author: Benjamin Fernandez <benjas@benjas-laptop>
## Created: 2010-05-02
## Version: 0.1
function [ac, bc, cc, z, ncont] = obsvf (a, b = [], c, tol = [])
if (nargin < 1 || nargin > 4)
print_usage ();
endif
if (isa (a, "lti"))
if (nargin > 2)
print_usage ();
endif
[ac, bc, cc] = ctrbf (a.', b); # [sysbar, z, ncont] = ctrbf (sys.', tol);
ac = ac.';
z = ncont = [];
else
if (nargin < 3)
print_usage ();
endif
[ac, tmp, cc, z, ncont] = ctrbf (a.', c.', b.', tol);
ac = ac.';
bc = cc.';
cc = tmp.';
endif
endfunction
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