Solve on paper Consider the following state-space representation 21 A = [ ] B = C= 0]. 1- The transfer function G(s) is a) G(S)=2+4+3 1) G(s) = $2-45+3 2- The state equation in observer canonical form is a) x = [] + [u น 3- The system in the above state-space is b)=3+ น a) observable and controllable b) neither observable nor controllable 4- The system is a) Stable b) Unstable b) 0(t)= [0.5(e³t + e²) 0.5(e³t — e²)] L0.5(este) 0.5(e³t + e²)] 5- The state transition matrix in time domain is a) Ø(t) = [0.5 (ee) 0.5 (e-st-e-)] L0.5(ee) 0.5 (e-3 + e-')] 6- The state response if a unit step applied is a) x(t) = est +. est 3t + b) x(t) = est