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Introduction

Quick practice

Question 1 of 5

A system is described by the following equations:

\begin{array}{l} \dot{x}(t)=\left[\begin{array}{cc} 0 & 1 \\ -2 & -3 \end{array}\right] x(t)+\left[\begin{array}{l} 0 \\ 1 \end{array}\right] u(t) \\ y(t)=\left[\begin{array}{ll} 1 & 0 \end{array}\right] x(t) \end{array}

What is transfer function H(s) for this system?

A

H(s)=\frac{1}{s^{2}+3 s+2}

B

H(s)=\frac{s}{s^{2}+3 s+2}

C

H(s)=\frac{s(s+2)}{s^{3}+3 s+2}

D

H(s)=\frac{s+3}{s^{3}+3 s+2}

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