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GATE EC 2016 Set 3 — Question 57

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MCQ+2 / -0.67MediumControllability & ObservabilityState-Space AnalysisControl Systems

Control Systems → State-Space Analysis → Controllability & Observability

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Question

A second-order linear time-invariant system is described by the following state equationsddtx1(t)+2x1(t)=3u(t)\frac{d}{dt}x_1(t) + 2x_1(t) = 3u(t)ddtx2(t)+x2(t)=u(t)\frac{d}{dt}x_2(t) + x_2(t) = u(t)where x1(t)x_1(t) and x2(t)x_2(t) are the two state variables and u(t)u(t) denotes the input. If the output c(t)=x1(t)c(t) = x_1(t), then the system is
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