Question: 4.16 Consider the system given by (a) Find the transfer function Y(z) U(z). (b) Find the necessary and sufficient condition for controllability of this system.

4.16 Consider the system given by

1 0 0 b11 b12 b13 x(k+1)=01 0 x(k)+b21 b22 b23 u(k)

(a) Find the transfer function Y(z)
U(z).

(b) Find the necessary and sufficient condition for controllability of this system.

1 0 0 b11 b12 b13 x(k+1)=01 0 x(k)+b21 b22 b23 u(k) 00 y(k) = x1(k) b31 b32 b33.

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