markp2ss

Scilab Function
Last update : April 1993

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 `nout` X`(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),....

### Examples

    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` ,