Consider the first-order unstable process x (t) = ax(t) +u(t), a > 0 a. Design an LQ controller u(t) = -Lx(t) that minimizes the criterion = (x2(t) + pu"(t)) dt, P>0 b. Calculate the location of the closed-loop as a function of p and discuss what happens when either p - 0 or p - co