Consider the control process x' = -y + u(t), y' = x. Find to what point (in R^(2) ) the point \begin{pmatrix}1\\ 0\end{pmatrix} gets steered to by a control function u(t) = { 1, if 0 ≤ t ≤ 1. 0 if 1 ≤ t ≤ 2 } in time T = 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the control process x' = -y + u(t), y' = x. Find to what point (in R^(2) ) the point \begin{pmatrix}1\\ 0\end{pmatrix} gets steered to by a control function u(t) = { 1, if 0 ≤ t ≤ 1. 0 if 1 ≤ t ≤ 2 } in time T = 2

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