In Matlab using the computed gains, plot zero-input-response plots, using the lsim command. You need only include one plot: that for x[k] containing all three states on the single plot. Do this for x[0] = [0 5 10]^T, and then repeat for x[0] = [5 0 -5]^T (so you will turn in a total of two plots). Make sure all of your plots have clear labels. Make sure to include a printout of your m-file as well.

8.8 Consider the discrete-time state equation ?? 1-21 L00 I Find the state feedback gain so that the resulting system has all eigenvalues at: -0. Show that for any initial state, the zero-input response of the feedback system becomes identically zero for k 2 3 8.8 Consider the discrete-time state equation ?? 1-21 L00 I Find the state feedback gain so that the resulting system has all eigenvalues at: -0. Show that for any initial state, the zero-input response of the feedback system becomes identically zero for k 2 3