15. Consider the system

Y(s) = G(s)U (s) = |||U(s). Determine the eigenvalues of the closed-loop system when utilizing state variable feed- back, where u(t) = -2x2 (1) -2x1 (1) + r(1). We define x1 (t) = y(t), x2 (t) = x (1), and r(t) is a reference input. a. s-1j1 $ = -1-j1 = b. s = -2+ j2 82 = -2-j2 c. s =-1+ j2 s = -1- j2 d. $ = -1 $2 = -1