k20, y[0] - 1, у1] - 0
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![1. A discrete-time, linear time-invariant dynamic system is described by the difference
equation
Y[k + 2] – Y[k] = 0.5u[k], k 2 0, y[0] = 1, y[1] = 0
a. Rewrite the system dynamics in the controllable canonical form.
b. Is the system asymptotically stable?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F89e7eb58-a3e9-473f-803d-50ef354e9c52%2F5b9b1513-a072-4536-bae7-7bdbeafcb8de%2F9fl165_processed.png&w=3840&q=75)
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