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0i(k)+ u(k), y(k) [:] 5.10. Given x(k+1) x(k), and assume zero initial conditions. (a) Is there a sequence of inputs {u(0), u(1),.} that transfers

0i(k)+ u(k), y(k) [:] 5.10. Given x(k+1) x(k), and assume zero initial conditions. (a) Is there a sequence of inputs {u(0), u(1),.} that transfers the output from y(0) = to in finite time? If the answer is yes, determine such a sequence. (b) Characterize all outputs that can be reached from the zero output (y(0) = ), in one step. [1 101

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