Chapter 4, Problem 84P

a.

To determine

To show: The resulting state space equation is given by,

  $\begin{array}{l}\left[\begin{array}{l}\dot{T}\\ {\dot{T}}^{*}\\ \dot{v}\end{array}\right]=\left[\begin{array}{l}-0.041670-0.0058\\ 0.0217-0.240.0058\\ 0100-2.4\end{array}\right]\left[\begin{array}{l}T\\ T^{*}\\ v\end{array}\right]+\left[\begin{array}{l}5.2\\ -5.2\\ 0\end{array}\right]u_1\\ y=\left[001\right]\left[\begin{array}{l}T\\ T^{*}\\ v\end{array}\right]\end{array}$

b.

To determine

The transfer function $\frac{Y(s)}{U_1(s)}$ .

c.

To determine

The steady-state change of virus count and the time taken by the medicine to reach its maximum possible effectiveness.