Statechart and solving linear systems

Hello;

  I am a student, I have a  project of simulation of a converter in labview and compare the results with those obtained in matlab. 3 input signals  are compared to a reference signal to obtain a logical answer : T if<Ref or  F if > Ref. So there are 6 states to set up and solve the associated linear systems (please see attachments). I have difficulties in:

- Resolution of systems of states 3, 4 and 5 of the form dX = AX + BU.

- Graphical Representation of results-outputs (I, VC1 and VC2).

- definition of  X0 initial state values: the initial value of a state is the final value of the previous state.

Thank you in advance for your support.