1. Consider the two-inertia system sketched below. The state equation and characteristic equation for this system k=100 w2 are J=1 Figure 1: A two-inertia system. 0 -100 [w(t)] (t) = 0 0 dt 1 -1 0 J2=1 (t) + u(t) (t) A(s): = 8 (s+200) = 0 Previously, you have transformed the system into controllable canonical form. From there, obtain the state feedback control law to place the closed-loop eigenvalues at -2020j and -40.