Compute transfer function of a linear system analytically?

Hello everyone,

I am new to Mathematica and I would like to compute the transfer function matrix of a linear system.

The system has the following disturbance inputs:

CodeCogsEqn_OP_2_CP_.gif

The system has the following states:

CodeCogsEqn_OP_1_CP_.gif

The dynamics of the system are given by two vectorial and one scalar equation.
I tried to solve for the state variables as a function of the disturbances using the following code but I get an error message and I’m not sure why:
(Note that vc, vg and ic which are defined at the beginning are constant vectors).

Okay, so far I’ve figured out I used the wrong syntax for the dot-product and the vector-matrix multiplication yet I still get an empty set as answer?