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] .

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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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

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