Problem 4 Find the control canonical state-variable representation for each of the following difference equations: (a) y(k + 2) + 6y(x +1) + 5y(x) = 2e(x) (b) y(x + 2) + 6y(* + 1) + 5y(x) = e(x +1) + 2e(*) (c) y(* + 2) + 6y(* +1) + 5y(*) = 3e(k + 2) + e(k + 1) + 2e(x)

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Problem 4 Find the control canonical state-variable representation for each of the following
difference equations:
(a) y(k + 2) + 6y(k + 1) + 5y(k) = 2e(k)
(b) y(x + 2) + 6y(k + 1) + 5y(k) = e(k +1) + 2e(k)
(c) y(k + 2) + 6y(k + 1) + 5y(k) = 3e(k + 2) + e(k + 1) + 2e(k)
Transcribed Image Text:Problem 4 Find the control canonical state-variable representation for each of the following difference equations: (a) y(k + 2) + 6y(k + 1) + 5y(k) = 2e(k) (b) y(x + 2) + 6y(k + 1) + 5y(k) = e(k +1) + 2e(k) (c) y(k + 2) + 6y(k + 1) + 5y(k) = 3e(k + 2) + e(k + 1) + 2e(k)
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