5. Find the total system response of the following state-space system: [9] for -9 0 * (t) = [³9] 5 -4 y(t) = [32] x(t) x(t) + u(t) = 3e-t, t≥ 0 x₁ (0) = 1 x₂ (0) = 2 Be sure to use the solution for the state equation: u(t) X(t) = €¹¹x(0) + * e^(²-7)bu(7) dr to determine the output. You can verify your solution for the zero-state response by deriving the transfer function for the system.
5. Find the total system response of the following state-space system: [9] for -9 0 * (t) = [³9] 5 -4 y(t) = [32] x(t) x(t) + u(t) = 3e-t, t≥ 0 x₁ (0) = 1 x₂ (0) = 2 Be sure to use the solution for the state equation: u(t) X(t) = €¹¹x(0) + * e^(²-7)bu(7) dr to determine the output. You can verify your solution for the zero-state response by deriving the transfer function for the system.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Question
![5. Find the total system response of the following state-space system:
1₁
for
-9
5
y(t) = [32] x(t)
*(t)
0
=
x(t) +
u(t) = 3e-t,t> 0
₁ (0) = 1
x₂ (0) = 2
Be sure to use the solution for the state equation:
u(t)
X(t) = €¹¹x(0) + €¹(¹-7)bu(7) dî
e
to determine the output. You can verify your solution for the zero-state response by deriving the transfer
function for the system.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf671330-1dc4-433a-bf19-1991be3b60ec%2F37784ab6-06f5-4ac1-9e0a-ad1864f120ba%2Fh548oa_processed.png&w=3840&q=75)
Transcribed Image Text:5. Find the total system response of the following state-space system:
1₁
for
-9
5
y(t) = [32] x(t)
*(t)
0
=
x(t) +
u(t) = 3e-t,t> 0
₁ (0) = 1
x₂ (0) = 2
Be sure to use the solution for the state equation:
u(t)
X(t) = €¹¹x(0) + €¹(¹-7)bu(7) dî
e
to determine the output. You can verify your solution for the zero-state response by deriving the transfer
function for the system.
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