markp2ss
========

Markov parameters to state-space



Calling Sequence
~~~~~~~~~~~~~~~~


::

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




Arguments
~~~~~~~~~

: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`_ transfer function realization from frequency response
+ `tf2ss`_ transfer to state-space
+ `imrep2ss`_ state-space realization of an impulse response


.. _tf2ss: tf2ss.html
.. _frep2tf: frep2tf.html
.. _imrep2ss: imrep2ss.html