5.1) For what values of a is the system controllable?5.2) Show that applying full-state feedback, for a step input of r(t) = 5, the system yields a finitesteady-state error. Show the value of the steady-state error.5.3) Show that adding an integral controller to the closed-loop system in state-space, resultsin the elimination of the steady-state error.5.4) What is the order of the system with just a state feedback controller? What is the order ofthe system when you include the integrator?0 -5x-ay = [ 1 0 ]x

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