Consider the differential equation *+4x+3x=u with input u the output y = x. Write the system into first order form and calculate the A, B, C, D matrices. Calculate the eigenvalues and eigenvectors of the matrix A and calculate the matrix exponential e. Using the results in part (b) derive the free response considering the initial conditions x(0) =1, x(0) = 2.
Consider the differential equation *+4x+3x=u with input u the output y = x. Write the system into first order form and calculate the A, B, C, D matrices. Calculate the eigenvalues and eigenvectors of the matrix A and calculate the matrix exponential e. Using the results in part (b) derive the free response considering the initial conditions x(0) =1, x(0) = 2.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 32E
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