A control system is described by x(t) = x(t) + [-1 1]u(t), and y(t) = [1 1]x (t)

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A control system is described by x(t) = x(t) + [-1 1]u(t), and y(t) = [1 1]x (t) where u,x, and y, are the input, the state, and the output variables, respectively. Hint: Euler's identities are cos(wt)= e jwt + e - jwt/2, and sin(wt) = e(jwt) - e-jwt/2j Determine x(t) for t 0, when x(0) = [1 -1]T, and u(t) = 0 for t 0. Show all your work clearly Determine the transfer function of the system. Show your work clearly Determine the first three marker parameters of the system, h 0, h1 and h2. Show your work

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