Find a state-variable formulation, Electrical Engineering

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Consider a system described by the coupled difference equation

y(k + 2) - ν(k) = 0

ν(k + 1) + y(k + 1) = u(k)

where u(k) is the system input.

(a) Find a state-variable formulation for this system. Consider the outputs to be y(k + 1) and ν(k).

(b) Repeat part (a) with y(k) and ν(k) as the outputs.


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