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

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A control system is described by xdot (t) = x(t) + [-1 1] u(t), and y(t) = [1 1] x(t). where u, x, and y are input, the state, and the output Variables, respectively. HWT: Euler's identities are cos (wt) = ejwt + e-jwt / 2, and sin (wt) = ejwt - e-jwt / 2j Determine x(t) for t GE 0, when x(0) = [1 -1]T, and u(t) = 0 for t GE 0. Show all your work clearly Determine the transfer function of the system. Show your work clearly Determine the first three markov parameters of the system, h0, h1, and h2. Show your work

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