Abstract
An important input–output description of a linear continuous-time system is its impulse response, which is the response h(t, τ) to an impulse applied at time τ. In time-invariant systems that are also causal and at rest at time zero, the impulse response is h(t, 0) and its Laplace transform is the transfer function of the system. Expressions for h(t, τ) when the system is described by state-variable equations are also derived.
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Antsaklis, P.J. (2021). Linear Systems: Continuous-Time Impulse Response Descriptions. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, Cham. https://doi.org/10.1007/978-3-030-44184-5_188
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DOI: https://doi.org/10.1007/978-3-030-44184-5_188
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-44183-8
Online ISBN: 978-3-030-44184-5
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