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+// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+// Copyright (C) INRIA - F. Delebecque
+//
+// 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_V2.1-en.txt
+
+function [N,M]=lcf(Sl)
+ //Compute Normalized coprime factorization of a linear dynamic system
+ //%Syntax and parameters description
+ // [N,M]=lcf(Sl)
+ //
+ // SL : linear dynamic system given in state space or transfer function.
+ // see syslin
+ // N,M : is realization of Sl: Sl = M^-1 N
+ //!
+
+ if and(typeof(Sl)<>["rational","state-space"]) then
+ error(msprintf(gettext("%s: Wrong type for input argument #%d: Linear state space or a transfer function expected.\n"),"lcf",1))
+ end
+ if Sl.dt<>"c" then
+ error(msprintf(gettext("%s: Wrong type for argument #%d: In continuous time expected.\n"),"lcf",1))
+ end
+ flag=0;
+ if typeof(Sl)=="rational" then Sl=tf2ss(Sl),flag=1;end
+
+ [A,B,C,D]=Sl(2:5);[nw,nb]=size(B);[nc,nw]=size(C);
+ R=eye()+D*D';
+ [Z,H]=gfare(Sl);
+ Ar=A+H*C;
+ Bn=B+H*D;Bm=H;
+ Rm12=inv(sqrtm(R));
+ Cr=Rm12*C;Dn=Rm12*D;Dm=Rm12;
+ N=syslin("c",Ar,Bn,Cr,Dn);
+ M=syslin("c",Ar,Bm,Cr,Dm);
+ if flag==1 then N=ss2tf(N);M=ss2tf(M);end
+endfunction