X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?a=blobdiff_plain;ds=sidebyside;f=octave_packages%2Fcontrol-2.3.52%2Fisdetectable.m;fp=octave_packages%2Fcontrol-2.3.52%2Fisdetectable.m;h=727b8ec42c76066ad58987434665c258417233eb;hb=f5f7a74bd8a4900f0b797da6783be80e11a68d86;hp=0000000000000000000000000000000000000000;hpb=1705066eceaaea976f010f669ce8e972f3734b05;p=CreaPhase.git
diff --git a/octave_packages/control-2.3.52/isdetectable.m b/octave_packages/control-2.3.52/isdetectable.m
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+## Copyright (C) 2009, 2010 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 .
+
+## -*- texinfo -*-
+## @deftypefn {Function File} {@var{bool} =} isdetectable (@var{sys})
+## @deftypefnx {Function File} {@var{bool} =} isdetectable (@var{sys}, @var{tol})
+## @deftypefnx {Function File} {@var{bool} =} isdetectable (@var{a}, @var{c})
+## @deftypefnx {Function File} {@var{bool} =} isdetectable (@var{a}, @var{c}, @var{e})
+## @deftypefnx {Function File} {@var{bool} =} isdetectable (@var{a}, @var{c}, @var{[]}, @var{tol})
+## @deftypefnx {Function File} {@var{bool} =} isdetectable (@var{a}, @var{c}, @var{e}, @var{tol})
+## @deftypefnx {Function File} {@var{bool} =} isdetectable (@var{a}, @var{c}, @var{[]}, @var{[]}, @var{dflg})
+## @deftypefnx {Function File} {@var{bool} =} isdetectable (@var{a}, @var{c}, @var{e}, @var{[]}, @var{dflg})
+## @deftypefnx {Function File} {@var{bool} =} isdetectable (@var{a}, @var{c}, @var{[]}, @var{tol}, @var{dflg})
+## @deftypefnx {Function File} {@var{bool} =} isdetectable (@var{a}, @var{c}, @var{e}, @var{tol}, @var{dflg})
+## Logical test for system detectability.
+## All unstable modes must be observable or all unobservable states must be stable.
+##
+## @strong{Inputs}
+## @table @var
+## @item sys
+## LTI system.
+## @item a
+## State transition matrix.
+## @item c
+## Measurement matrix.
+## @item e
+## Descriptor matrix.
+## If @var{e} is empty @code{[]} or not specified, an identity matrix is assumed.
+## @item tol
+## Optional tolerance for stability. Default value is 0.
+## @item dflg = 0
+## Matrices (@var{a}, @var{c}) are part of a continuous-time system. Default Value.
+## @item dflg = 1
+## Matrices (@var{a}, @var{c}) are part of a discrete-time system.
+## @end table
+##
+## @strong{Outputs}
+## @table @var
+## @item bool = 0
+## System is not detectable.
+## @item bool = 1
+## System is detectable.
+## @end table
+##
+##
+## @strong{Algorithm}@*
+## Uses SLICOT AB01OD and TG01HD by courtesy of
+## @uref{http://www.slicot.org, NICONET e.V.}
+## See @command{isstabilizable} for description of computational method.
+## @seealso{isstabilizable, isstable, isctrb, isobsv}
+## @end deftypefn
+
+## Author: Lukas Reichlin
+## Created: October 2009
+## Version: 0.3
+
+function bool = isdetectable (a, c = [], e = [], tol = [], dflg = 0)
+
+ if (nargin == 0)
+ print_usage ();
+ elseif (isa (a, "lti")) # isdetectable (sys), isdetectable (sys, tol)
+ if (nargin > 2)
+ print_usage ();
+ endif
+ bool = isstabilizable (a.', c); # transpose is overloaded
+ elseif (nargin < 2 || nargin > 5)
+ print_usage ();
+ else # isdetectable (a, c, ...)
+ bool = isstabilizable (a.', c.', e.', tol, dflg); # arguments checked inside
+ endif
+
+endfunction
+