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Introduction to Ledger

A continuous-...

Question

A continuous-time system is described by y(t) = $e^{- | x (t) |}$ , where y(t) is the output and x(t) is the input, y(t) is bounded

only when x(t) is bounded

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even when x(t) is not bounded

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only when x(t) is non-negative

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only for

t \leq 0

if x(t) is bounded for

t \geq 0

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Solution

The correct option is B
even when x(t) is not bounded
even when x(t) is not bounded

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Similar questions

P_{1}

P_{2}

P_{3}

R_{1}

R_{2}

R_{3}

R_{4}

Properties:

P_{1}

P_{2}

P_{3}

Relations:

R_{1} : y (t) = t^{2} x (t)

R_{2} : y (t) = t | x (t) |

R_{3} : y (t) = | x (t) |

R_{4} : y (t) = x (t - 5)

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y (t) = 5 t \int - \infty x (τ) d τ

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Y(t) = \int_{- \infty}^{- 2 t} x (τ) d τ

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