HW#3 Academic ID: EE 351 Name: Question One. Consider the system: [1 *= 4x+Hu y = [1 1]x a) Find the state transition matrix; b) Find the impulse response of the system c) Find the transfer function of the system Question Two. Refer to the system in Question One and answer the following: a) Is the system stable? b) Design a feedback controller to place the poles at s=-2 and s=-3 Question Three. Question Four. Sketch the root locus for the unity feedback system at s-1 and s--2 Design a feedback controller to place the poles of the system shows below = *+ น Question Five. 12 y = [1 1]x For those systems with Jordan form below; state whether the system is stable/unstable, controllable/uncontrollable3 a) A=B= C=[0_1] b) A =[]B=[] C=[21] c) A = [2 C=[-2 -1] -2 B = [] d) A = B = [2] 0 C = [20]