Can a descriptor state space change into transfer function representaion?

I have dss model be changed into transfer function form like transfer function

A=[-10 -35 -50 -24;1 0 0 0;0 1 0 0; 0 0 1 0 ];
B=[1 0; 0 1; 1 1; 1 0];
C=[1 -1 0 1;0 1 1 1];
E=eye(4);
D=0;
H=dss(A,B,C,D,E);

Answer 1

[Star Strider]

The easiest way to determine that (or anything else that is not explicitly documented) is to try it and see the result.

A=[-10 -35 -50 -24;1 0 0 0;0 1 0 0; 0 0 1 0 ];
B=[1 0; 0 1; 1 1; 1 0];
C=[1 -1 0 1;0 1 1 1];
E=eye(4);
D=0;
H=dss(A,B,C,D,E);

figure
bode(H)

Htf = tf(H);

figure
bode(Htf)

These seem to be the same to me.

EDIT — (21 Jun 2020 at 20:15)

The ‘Htf’ transfer functions are:

Htf =
 
  From input 1 to output...
          2 s^3 - 64 s^2 + 95 s + 110
   1:  ---------------------------------
       s^4 + 10 s^3 + 35 s^2 + 50 s + 24
 
           2 s^3 + 22 s^2 + 7 s + 38
   2:  ---------------------------------
       s^4 + 10 s^3 + 35 s^2 + 50 s + 24
 
  From input 2 to output...
           -s^3 - 94 s^2 - 13 s + 45
   1:  ---------------------------------
       s^4 + 10 s^3 + 35 s^2 + 50 s + 24
 
           2 s^3 + 22 s^2 + 6 s + 21
   2:  ---------------------------------
       s^4 + 10 s^3 + 35 s^2 + 50 s + 24
 
Continuous-time transfer function.

Different format, same result.

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