Question: Verify that the system 1 1 0 0 0 1 1 1 1 x+ 0 0 u, y = [010] x, 1 0 is

Verify that the system [ dot{x}=left[begin{array}{lll} 1 & 1 & 0 0 & 0 & 1 1 & 1 & 1 end{array}ight] x+left[be

Verify that the system 1 1 0 0 0 1 1 1 1 x+ 0 0 u, y = [010] x, 1 0 is right invertible. Find an initial condition, x(0), and a control input, u(t), which together produce an output y(t) = a coswt, t 0. Show that the solutions are nonunique.

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