/usr/share/octave/packages/control-2.6.2/@frd/__sys_connect__.m is in octave-control 2.6.2-1build1.
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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 | ## 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{retsys} =} __sys_connect__ (@var{sys}, @var{M})
## This function is part of the Model Abstraction Layer. No argument checking.
## For internal use only.
## @example
## @group
## Problem: Solve the system equations of
## Y(s) = G(s) E(s)
## E(s) = U(s) + M Y(s)
## in order to build
## Y(s) = H(s) U(s)
## Solution:
## Y(s) = G(s) [U(s) + M Y(s)]
## Y(s) = G(s) U(s) + G(s) M Y(s)
## Y(s) = [I - G(s) M]^-1 G(s) U(s)
## \_______ _______/
## H(s)
## @end group
## @end example
## @end deftypefn
## Author: Lukas Reichlin <lukas.reichlin@gmail.com>
## Created: October 2010
## Version: 0.1
function sys = __sys_connect__ (sys, M)
[p, m, l] = size (sys.H);
I = eye (p);
H = mat2cell (sys.H, p, m, ones (1, l))(:);
H = cellfun (@(x) (I - x*M) \ x, H, "uniformoutput", false);
sys.H = cat (3, H{:});
endfunction
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