Equation 1: ÿ(t) +9ÿ(t) + 18y(t) = 2u(t) + 6u(t) Input: u(t) = 2e-4t, to = 0, t≥ to groll goi A = [²] B = [82] C=[10] _0=[0] -18 Refer to the state-space representation of the system you determined. Derive the modal form of the system.
Equation 1: ÿ(t) +9ÿ(t) + 18y(t) = 2u(t) + 6u(t) Input: u(t) = 2e-4t, to = 0, t≥ to groll goi A = [²] B = [82] C=[10] _0=[0] -18 Refer to the state-space representation of the system you determined. Derive the modal form of the system.
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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![Equation 1: ÿ(t) +9y(t) + 18y(t) = 2u(t) + 6u(t)
Input: u(t) = 2e-4t, to = 0, t≥ to
[10] [x] x [0]
y=
A = [-²8 -1 ] 13 = [82] C=[10] 0= [0]
Refer to the state-space representation of the system you determined.
Derive the modal form of the system.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc67b1b8-d17b-417d-ac48-ac8b387655c3%2F3a52bbea-f1d3-403d-b894-d8302666973c%2Fanzrafr_processed.png&w=3840&q=75)
Transcribed Image Text:Equation 1: ÿ(t) +9y(t) + 18y(t) = 2u(t) + 6u(t)
Input: u(t) = 2e-4t, to = 0, t≥ to
[10] [x] x [0]
y=
A = [-²8 -1 ] 13 = [82] C=[10] 0= [0]
Refer to the state-space representation of the system you determined.
Derive the modal form of the system.
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