A control system is described by x(t) = x(t) + [31 1] u(t), and y(t) = [1 1] x(t

Question

A control system is described by x(t) = x(t) + [31 1] u(t), and y(t) = [1 1] x(t), where u, x, y are the input, the state, and the output variables, respectively. Hint Euler's identities are cos(wt)=ejwt+e-jwt/2 and sin(wt)=ejwt-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 transfer function of the system. Show your work clearly. Determine the first three Marrkov parameters of the system, ho, h1, and h2. Show your work clearly.

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