File: ss2des.sci

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function S=ss2des(Sl,flag)
// Returns S=list('des',A,B,C,D,E) for Sl a state-space
// system with Ds polynomial.
// if flag=="withD" a maximal rank D matrix is returned in S
// otherwise D=0;
// Copyright INRIA
[LHS,RHS]=argn(0);
if RHS==1 then flag=[];end
if RHS==2&flag<>"withD" then warning("ss2des: unknown flag!");end
Ds=Sl(5);
if type(Ds)==1 then
  if norm(Ds,1)==0 then S=Sl;return;end
  if norm(Ds,1)<>0 then Sl(5)=Ds+poly(0,'s')*0*Ds;end
end
[A2,B2,C2,Ds]=Sl(2:5);
if flag=="withD" then D=coeff(Ds,0);Ds=Ds-D;end
[N,B1,C1]=pol2des(Ds);
[n1,n1]=size(N);
[n2,n2]=size(A2);
E=[N,0*ones(n1,n2);0*ones(n2,n1),eye(n2,n2)];
A=[eye(N),0*ones(n1,n2);0*ones(n2,n1),A2];
C=[C1,C2];
B=[B1;B2];
if flag<>"withD" then D=0*C*B;end
S=tlist(['des','A','B','C','D','E'],A,B,C,D,E);
endfunction