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\left(t\right)\:=\:\left\{1\:if\:\:0\:\le \:t\:\le \:1,\:0\:if\:\:1\:\le \:t\:\le \:2\right\}\:in\:time\:T\:=2.

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