A state-space representation of a system is given by:$A=\left[ \begin{matrix} 0 & 1 \ -2 & 0 \ \end{matrix} \right],~y=\left[ 1~-1 \right],~x\left( 0 \right)=\left[ \begin{matrix} 1 \ 1 \ \end{matrix} \right]$The time response of the system will be ______.

Question

TuteeHUB · Accepted Answer

$\frac{1}{\sqrt{2}}\sin \sqrt{2}t$

TuteeHUB · Answer

sin √2t

TuteeHUB · Answer

$-\frac{1}{\sqrt{2}}\sin \sqrt{2}t$

TuteeHUB · Answer

$\frac{3}{\sqrt{2}}\sin \sqrt{2}t$

1.	A state-space representation of a system is given by:\(A=\left[ \begin{matrix} 0 & 1 \\ -2 & 0 \\ \end{matrix} \right],~y=\left[ 1~-1 \right],~x\left( 0 \right)=\left[ \begin{matrix} 1 \\ 1 \\ \end{matrix} \right]\)The time response of the system will be ______.
A.	sin √2t
B.	\(-\frac{1}{\sqrt{2}}\sin \sqrt{2}t\)
C.	\(\frac{3}{\sqrt{2}}\sin \sqrt{2}t\)
D.	\(\frac{1}{\sqrt{2}}\sin \sqrt{2}t\)
Answer» D. \(\frac{1}{\sqrt{2}}\sin \sqrt{2}t\)

A state-space representation of a system is given by:\(A=\left[ \begin{matrix} 0 & 1 \\ -2 & 0 \\ \end{matrix} \right],~y=\left[ 1~-1 \right],~x\left( 0 \right)=\left[ \begin{matrix} 1 \\ 1 \\ \end{matrix} \right]\)The time response of the system will be ______.

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