A continuous time plant is described by the state equation 1 2 H x 0 The state equation is to be solved for x t using digital computer Obtain suitable recursive relations Take sampling interval T 1 sec Show that if there is pole zero cancellation in the input output transfer function of a linea time invariant discrete time system the system will be either uncontrollable or unobservable The linear continuous time plant of a sampled data system is described by the state equation 0 1 x Determine the value of sampling period T which makes the system uncontrollable