Question: equation Consider the discrete-time system whose state r: Zo R satisfies the difference -[ ]- + [i]*) z(k+1)= with initial condition r(0) R. 1.

equation Consider the discrete-time system whose state r: Zo R satisfies the difference -[ ]- + [i]*) z(k+1)= with initial condition r(0) R. 1. Determine the set of all initial states, r(0), for which there exists an input sequence i u(0) (1) to r(3) R that drives the system state to (3) = [8] 2. Characterize the affine variety containing all input sequences in R' driving the system state (3) - [8]

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