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Given the following set of differential equations, what is the transfer function relating x₂(s) to u(s)? dx₁ dt −x₁ +4x2 + 2x3 + 4u dx2 = -4x2 + 2x₁ dt dx 3 dt = 5u Assume the following initial conditions: X1(0) = 0, x2(0) = 0, x3(0) = 0, u(0) = 0

Given the following set of differential equations, what is the transfer function relating x₂(s) to u(s)? dx₁ dt −x₁ +4x2 + 2x3 + 4u dx2 = -4x2 + 2x₁ dt dx 3 dt = 5u Assume the following initial conditions: X1(0) = 0, x2(0) = 0, x3(0) = 0, u(0) = 0

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...
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Please help with the transfer function.

Given the following set of differential equations, what is the transfer function relating x₂(s) to u(s)? dx₁ dt −x₁ +4x2 + 2x3 + 4u dx2 = -4x2 + 2x₁ dt dx 3 dt = 5u Assume the following initial conditions: X1(0) = 0, x2(0) = 0, x3(0) = 0, u(0) = 0
Transcribed Image Text:Given the following set of differential equations, what is the transfer function relating x₂(s) to u(s)? dx₁ dt −x₁ +4x2 + 2x3 + 4u dx2 = -4x2 + 2x₁ dt dx 3 dt = 5u Assume the following initial conditions: X1(0) = 0, x2(0) = 0, x3(0) = 0, u(0) = 0
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