Given the system 0 1 0 f= 0 0 1 x+ 0 น 100 1 y=[10.5-1]x (a) Show that the system is not controllable and find the uncontrollable mode. Is the system internally stable? (b) Calculate the transfer function y/u and show that the system is input-output stable. (c) Suppose a disturbance input w has been ignored in the modeling process, whose effect is taken into account by adding W to the RHS of the state equation. Show that the transfer function y/w is not input-output stable.