Use the following system of equations in Problems 1 and 2. x₁ (t) = -x₁ (t) x;(t) = xı(t) − 2x,(t) What is the 2% settling time of x₂(t) when x₁ (0) = 1 and x₂(0) = 0? I (a) Ts 0.5 seconds (b) T,= 1 second (c) T, = 2 seconds (d) T, = 4 seconds What is the 2% settling time of x₂ (t) when x₁ (0) = 0 and x₂ (0) = 4? (a) T, = 0.5 seconds (b) T,= 1 second (c) T,= 2 seconds (d) T, 4 seconds

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Use the following system of equations in Problems 1 and 2.
x₁ (t) = -x₁ (t)
x;(t) = xı(t) − 2x,(t)
What is the 2% settling time of x₂ (t) when x₁ (0) = 1 and x₂(0) = 0?
I
(a) Ts 0.5 seconds
(b) T,= 1 second
(c) T, = 2 seconds
(d) T, = 4 seconds
What is the 2% settling time of x₂ (t) when x₁ (0) = 0 and x₂ (0) = 4?
(a) T, = 0.5 seconds
(b) T,= 1 second
(c) T₁ =
2 seconds
(d) T,=
4 seconds
Transcribed Image Text:Use the following system of equations in Problems 1 and 2. x₁ (t) = -x₁ (t) x;(t) = xı(t) − 2x,(t) What is the 2% settling time of x₂ (t) when x₁ (0) = 1 and x₂(0) = 0? I (a) Ts 0.5 seconds (b) T,= 1 second (c) T, = 2 seconds (d) T, = 4 seconds What is the 2% settling time of x₂ (t) when x₁ (0) = 0 and x₂ (0) = 4? (a) T, = 0.5 seconds (b) T,= 1 second (c) T₁ = 2 seconds (d) T,= 4 seconds
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