QUESTION 3 Consider the state-space system in Question 2. Given zero initial conditions and u (t) = c * step (t), what is the value of at time t = 1.2 and c = 1.17? If necessary, round your answer to 2 decimal places.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please solve questions 3 asap
QUESTION 2
Consider the state-space system:
x₁ (t) = -x (t) +2u (1)
X
1
x₂ (1) = 2x (1) - 3x (1) - 4u (1)
y (t) = x₁(t) = x₂ (1)
-
Given the initial conditions
x₁ (0) = a
1
x₂ (0) = b
2
where a = 4, b = 1 and u (t) = 0, what is the value of y (t) at time t = 1.1 ?
If necessary, round your answer to 2 decimal places.
Transcribed Image Text:QUESTION 2 Consider the state-space system: x₁ (t) = -x (t) +2u (1) X 1 x₂ (1) = 2x (1) - 3x (1) - 4u (1) y (t) = x₁(t) = x₂ (1) - Given the initial conditions x₁ (0) = a 1 x₂ (0) = b 2 where a = 4, b = 1 and u (t) = 0, what is the value of y (t) at time t = 1.1 ? If necessary, round your answer to 2 decimal places.
QUESTION 3
Consider the state-space system in Question 2.
Given zero initial conditions and u (t) = c * step (t), what is the value of at time t = 1.2 and c = 1.17?
If necessary, round your answer to 2 decimal places.
Transcribed Image Text:QUESTION 3 Consider the state-space system in Question 2. Given zero initial conditions and u (t) = c * step (t), what is the value of at time t = 1.2 and c = 1.17? If necessary, round your answer to 2 decimal places.
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