File: ctr_gram.sci

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// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
// Copyright (C) INRIA - 
// 
// This file must be used under the terms of the CeCILL.
// This source file is licensed as described in the file COPYING, which
// you should have received as part of this distribution.  The terms
// are also available at    
// http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt


function [gc]=ctr_gram(a,b,domaine)
//!

  [lhs,rhs]=argn(0)
  select typeof(a)
  case 'constant' then
    if rhs<2 then error(39); end;
    if rhs==2 then 
      domaine='c'; 
    else
      if and(domaine<>['d','c']) then
	error(msprintf(gettext("%s: Wrong value for input argument #%d: Must be in the set {%s}.\n"), "ctr_gram",3,"''d'', ''c''"));
      end
    end;
    [m,n]=size(a)
    if m<>n then error(20,1),end
    [mb,nb]=size(b);if mb<>n then error(60),end
  case 'state-space' then
    if rhs>1 then
      error(msprintf(gettext("%s: Wrong number of input arguments: %d expected"),"ctr_gram",1)),
    end
    [a,b,domaine]=a([2,3,7])
    if domaine==[] then
      warning(msprintf(gettext("%s: Input argument %d is assumed continuous time.\n"),"ctr_gram",1));
      domaine='c';
    elseif type(domaine)==1 then 
      domaine='d',
    end
    [n,n]=size(a) 
  case 'rational' then
    if rhs>1 then
      error(msprintf(gettext("%s: Wrong number of input arguments: %d expected"),"ctr_gram",1)),
    end
    a=tf2ss(a)
    [a,b,domaine]=a([2,3,7])
    if domaine==[] then
      warning(msprintf(gettext("%s: Input argument %d is assumed continuous time.\n"),"ctr_gram",1));
      domaine='c';
    elseif type(domaine)==1 then 
      domaine='d',
    end
    [n,n]=size(a) 
  else 
    if rhs==1 then
      error(msprintf(gettext("%s: Wrong type for input argument #%d: Linear dynamical system expected.\n"),"ctr_gram",1))
    else
      error(msprintf(gettext("%s: Wrong type of input argument #%d: Array of floating point numbers expected.\n"),"ctr_gram",1))
    end
  end
  s=spec(a)
  if (domaine=='c'&maxi(real(s))>=0)|(domaine=='d'&maxi(abs(s))>=1) then
    error(msprintf(gettext("%s: Wrong value for input argument #%d: Stable system expected.\n"),"ctr_gram",1));
  end
  gc=lyap(a',-b*b',domaine)
endfunction