Legacy Documentation

8.8 Recovering the Transformation Matrix

The similarity transformation matrix, which has been used internally to arrive at the realizations of special forms introduced in this chapter, can be retrieved using the function TransformationMatrix.

Recovering the similarity transformation.

This is another simple system and its Kalman controllable realization.

In[37]:=

Out[37]=

In[38]:=

Out[38]=

This gives the transformation matrix between the two realizations.

In[39]:=

Out[39]=

Indeed, the similarity transformation of the original system with this matrix, which is known to be orthogonal, brings about the Kalman controllable realization.

In[40]:=

Out[40]=