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    Transfer Function

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    1. Is the linear time-invariant continuous-time system with the impulse response h(t) = sin 2t for t ≥ 0 BIBO is stable? Explain.

    2. Determine if the linear time-invariant continuous-time system defined by:

    is stable, marginally stable, unstable, or marginally unstable. Show work.

    3. Compute the steady-state response for the linear time-invariant continuous-time system with the transfer function:

    when the input is x(t) = cos(t), t ≥ 0 and no initial energy.

    4. A linear time-invariant continuous-time system has transfer function:

    Compute the transient response resulting from the input x(t)=2cos(4t), t>=0, with zero initial conditions.
    5. The response of a system to an input is:

    What is the steady-state response?

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    https://brainmass.com/engineering/electrical-engineering/linear-time-invariant-continuous-time-system-309183

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    1. Is the linear time-invariant continuous-time system with the impulse response h(t) = sin 2t for t ≥ 0 BIBO is stable? Explain.

    Solution:
    We can solve the BIBO stability of the impulse response if it is absolutely integrable using the integral form:

    Substituting, we have:

    Since both and does not have a unique value in the range of -1 to +1, then they have no unique value. Therefore, the impulse response in not integrable and therefore BIBO unstable.

    2. Determine if the linear time-invariant continuous-time system defined by:

    is ...

    Solution Summary

    The expert examines a linear time-invariant continuous-time system.

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