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# markp2ss

Markov parameters to state-space

### Syntax

sl = markp2ss(markpar, n, nout, nin)

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),....

### 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 !

• frep2tf — transfer function realization from frequency response
• tf2ss — transfer to state-space
• imrep2ss — state-space realization of an impulse response