File: markp2ss.cat

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markp2ss(1)                    Scilab Function                    markp2ss(1)
NAME
  markp2ss - Markov parameters to state-space

CALLING SEQUENCE
  [sl]=markp2ss(markpar,n,nout,nin)

PARAMETERS

  markpar   : matrix

  n,nout,nin     : integers

  Sl        : syslin list

DESCRIPTION
  given a set of n Markov parameters stacked in the (row)-matrix markpar of
  size noutX(n*nin) markp2ss returns a state-space linear system sl (syslin
  list) such that with [A,B,C,D]=abcd(sl):
     C*B = markpar(1:nout,1:nin),
     C*A*B =markpar(1:nout,nin+1:2*nin),....

EXAMPLE
  W=ssrand(2,3,4);   //random system with 2 outputs and 3 inputs
  [a,b,c,d]=abcd(W);
  markpar=[c*b,c*a*b,c*a^2*b,c*a^3*b,c*a^4*b];
  S=markp2ss(markpar,5,2,3);
  [A,B,C,D]=abcd(S);
  Markpar=[C*B,C*A*B,C*A^2*B,C*A^3*B,C*A^4*B];
  norm(markpar-Markpar,1)
  //Caution... c*a^5*b is not C*A^5*B !

SEE ALSO
  frep2tf, tf2ss, imrep2ss