Consider the system i = Ax + Bu with S=C -1]. B=19 (a) Find the feedback gain K to assign the closed-loop eigenvalues at (-1 =jV3)w. (b) For x(0) = [1,1]? and u = -Kx, plot x1, x2 and u for w = 1 and w = 10. Comment on the results. (c) Via simulation, find the largest w for which \u(t) 0. Find the optimal controller u* that minimizes J. For the given initial condition, compute J*. Consider the system i = Ax + Bu with S=C -1]. B=19 (a) Find the feedback gain K to assign the closed-loop eigenvalues at (-1 =jV3)w. (b) For x(0) = [1,1]? and u = -Kx, plot x1, x2 and u for w = 1 and w = 10. Comment on the results. (c) Via simulation, find the largest w for which \u(t) 0. Find the optimal controller u* that minimizes J. For the given initial condition, compute J*