Laplace transform

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The Laplace transform of a function f(t) defined for all real numbers t ≥ 0 is the function F(s), defined by:

F(s) = ∫0∞ e-st f(t) dt

The Laplace transform F(s) typically exists for all real numbers s > a, where a is a constant which depends on the growth behavior of f(t).

See also: Fourier transform, transfer function, linear dynamic system.

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