Question: Consider the discrete time system x k + 1 = [ 1 1 0 1 ] x k + [ 0 1 ] u k

Consider the discrete time system xk+1=[1101]xk+[01]uk. Design a state feedback such that the states converge to 0 in at most two samples, from any initial conditions. (Hint: Select the location of the closed-loop eigenvalues so that (A-BK)N=0, for a suitable choice of N ; justify your choice.)
Consider the discrete time system x k + 1 = [ 1 1

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