/usr/share/octave/packages/control-2.6.2/__dss_bilin__.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 81 82 83 84 85 86 87 88 89 90 91 | ## 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 -*-
## 1. Discrete -> continuous
## _
## E = alpha*E + A
## _
## A = beta (A - alpha*E)
## _
## B = sqrt(2*alpha*beta) * B
## _ -1
## C = sqrt(2*alpha*beta) * C * (alpha*E + A) * E
## _ -1
## D = D - C * (alpha*E + A) * B
##
##
## 2. Continuous -> discrete
## _
## E = beta*E - A
## _
## A = alpha (beta*E + A)
## _
## B = sqrt(2*alpha*beta) * B
## _ -1
## C = sqrt(2*alpha*beta) * C * (beta*E - A) * E
## _ -1
## D = D + C * (beta*E - A) * B
## Special thanks to Andras Varga for the formulae.
## Author: Lukas Reichlin <lukas.reichlin@gmail.com>
## Created: October 2011
## Version: 0.1
function [Ar, Br, Cr, Dr, Er] = __dss_bilin__ (A, B, C, D, E, beta, discrete)
if (discrete)
EpA = E + A;
s2b = sqrt (2*beta);
if (rcond (EpA) < eps)
error ("d2c: E+A singular");
endif
CiEpA = C / EpA;
Er = EpA;
Ar = beta * (A - E);
Br = s2b * B;
Cr = s2b * CiEpA * E;
Dr = D - CiEpA * B;
## Er = E + A;
## Ar = beta * (A - E);
## Br = sqrt (2*beta) * B;
## Cr = sqrt (2*beta) * C / (E + A) * E;
## Dr = D - C / (E + A) * B;
else
bEmA = beta*E - A;
s2b = sqrt (2*beta);
if (rcond (bEmA) < eps)
error ("c2d: beta*E-A singular");
endif
CibEmA = C / bEmA;
Er = bEmA;
Ar = beta*E + A;
Br = s2b * B;
Cr = s2b * CibEmA * E;
Dr = D + CibEmA * B;
## Er = beta*E - A;
## Ar = beta*E + A;
## Br = sqrt (2*beta) * B;
## Cr = sqrt (2*beta) * C / (beta*E - A) * E;
## Dr = D + C / (beta*E - A) * B;
endif
endfunction
|