Find the state-space form of the following mathematical model x₁ +2(x₁ - x3)-2(x₂ − x₂ ) - ² (x₂-x₁) = ƒ (1) x₂ + 2(x₂ − x₂) + ²/(x₂-x₁) = 0 X3-2(x₁ - x3)=0 outputs are x₂ and x₂.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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Find the state-space form of the following mathematical model
x₁ + 2(x₁ − x₂) — 2(x₂ − x₂ ) − ½ (x₂ − x₂ ) = ƒ(1)
x₂ + 2(x₂ −X²₂) + ²/²2 (x₂-x₂) = 0
X3 -2(x₁-x₂) = 0
"
outputs are x₂ and ₂.
Transcribed Image Text:Find the state-space form of the following mathematical model x₁ + 2(x₁ − x₂) — 2(x₂ − x₂ ) − ½ (x₂ − x₂ ) = ƒ(1) x₂ + 2(x₂ −X²₂) + ²/²2 (x₂-x₂) = 0 X3 -2(x₁-x₂) = 0 " outputs are x₂ and ₂.
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