AP11.13 Consider the system represented in state vari

able form

x(t) = Ax(t) + Bu(t) y(t)=Cx(t)+Du(t), where 1 7 A B = -6 -3 C = [81], and D =[0]. Verify that the system is observable and control- lable. If so, design a full-state feedback law and an observer by placing the closed-loop system poles at $1, 2-2 j2 and the observer poles at $1,2=-13.