find a control u(t)  for x`(t)=  [2, 1 ; 1, 1]  x(t) +  [1; 1] u(t),    x(0)= [5; 0]                                                             so that x(2) = [0; 0] .

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 70EQ
icon
Related questions
Question

find a control u(t)  for

x`(t)=  [2, 1 ; 1, 1]  x(t) +  [1; 1] u(t),    x(0)= [5; 0]

                                                           

so that x(2) = [0; 0] .

                     

Find the u(t) that will drive the intial state to the give final state

Expert Solution
steps

Step by step

Solved in 3 steps with 7 images

Blurred answer