Understanding Multiple Input-Output Control in Steady State Infusion Rates

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Homework Statement

Homework Equations

The Attempt at a Solution

(a) I find the steady state values (s=0)

syms s
k11 = -6;
k12 = 3;
k21 = 12;
k22 = 35;

G = [k11 k12; k21 k22];
Ghat = [k22/(k11*k22-k12*k21) -k12/(k11*k22-k12*k21); -k21/(k11*k22-k12*k21) k11/(k11*k22-k12*k21)];

Lam = G*Ghat
Lam

Lam =

  1  0
  0  1

So I know that input 1 goes with output 1, and input 2 goes with output 2.

(b) I am not sure how I should do this, but I look at steady state values

G =

  -6  3
  12  35

But I don't really know how steady state infusion rates can be zero, yet you can increase Cardiac output by infusion? I don't understand how to solve this question.

 

[gfd43tg]

I've solved the problem!