A second-order LTI system is described by the following state equations. \frac{d}{dt}x_{1} (t) −x_{2} (t) = 0 \frac{d}{dt}x_{2} (t) + 2x_{1} (t) + 3x_{2} (t) = r (t) where x 1 (t) and x 2 (t) are the two state variables and r(t) denotes the input. The output c(t) = x 1 (t). The system is

GATE Electronics and Communications (EC) 2017 Shift 2 Solved Paper

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A second-order LTI system is described by the following state equations.

\;{d}/{dt}x_{1} (t) −x_{2} (t) = 0

\;{d}/{dt}x_{2} (t) + 2x_{1} (t) + 3x_{2} (t) = r (t)

where x₁(t) and x₂(t) are the two state variables and r(t) denotes the input. The output c(t) = x₁(t). The system is

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