Problem 5. (15%) Consider the following system described by its state space formulation: [o 1 X(t) = AX(t)+BU(t), where A= B= 1 21 Y(t)=CX(t)+DU(t), where C=[010] and D=0 -B 1. Does this system have any transmission zero(s)? and explain how you check this property; II. Is this system controllable? and explain how you check this property; III. Is it possible that we stabilize this system using the full-state feedback control principle? for example, to make the closed-loop system's poles at -1 and -2 points. If possible, what is the design parameter? and what's the value of this design parameter (with respect to the closed- loop system's poles at -1 and -2). Problem 5. (15%) Consider the following system described by its state space formulation: [o 1 X(t) = AX(t)+BU(t), where A= B= 1 21 Y(t)=CX(t)+DU(t), where C=[010] and D=0 -B 1. Does this system have any transmission zero(s)? and explain how you check this property; II. Is this system controllable? and explain how you check this property; III. Is it possible that we stabilize this system using the full-state feedback control principle? for example, to make the closed-loop system's poles at -1 and -2 points. If possible, what is the design parameter? and what's the value of this design parameter (with respect to the closed- loop system's poles at -1 and -2)