Problem 1. Consider the following two state-space systems. ž(0) = 2 i(t) 피(t) + I(t) + u(t) y(t) = [0 1] x(t) y(t) = [1 1]7(t). %3D (a) Determine if each system is controllable. Determine whether each eigen- value of the A matrices is controllable or uncontrollable.

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Problem 1.
Consider the following two state-space systems.
ż(1) =
i(t
r(t) +
u(t)
피(1) +
u(t)
-2
y(t) = [0 1] #(t)
-2 -3
y(t) = [1 1] 7(t).
(a)
Determine if each system is controllable. Determine whether each eigen-
value of the A matrices is controllable or uncontrollable.
Transcribed Image Text:Problem 1. Consider the following two state-space systems. ż(1) = i(t r(t) + u(t) 피(1) + u(t) -2 y(t) = [0 1] #(t) -2 -3 y(t) = [1 1] 7(t). (a) Determine if each system is controllable. Determine whether each eigen- value of the A matrices is controllable or uncontrollable.
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