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Official PYQ · 2019

GATE EC 2019 Set 1 Q33 — Circuit Analysis

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Let the state-space representation of an LTI system be x(t)=Ax(t)+Bu(t),y(t)=Cx(t)+du(t)x(t)=A x(t)+B u(t), y(t)=Cx(t)+du(t) where A,B,CA,B,C are matrices, dd is a scalar, u(t)u(t) is the input to the system, and y(t)y(t) is its output. Let B=[001]TB=[0\quad0\quad1]^{T} and d=0d=0 .Which one of the following options for AA and CC will ensure that the transfer function of this LTI system is

H(s)=1s3+3s2+2s+1?H(s)=\dfrac{1}{s^{3}+3s^{2}+2s+1}?

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Answer: A

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