Final value theorem
id:
final-value-theorem-183-9334998
title:
Final value theorem
text:
In mathematical analysis, the final value theorem (FVT) is one of several similar theorems used to relate frequency domain expressions to the time domain behavior as time approaches infinity.
Mathematically, if f in continuous time has (unilateral) Laplace transform F, then a final value theorem establishes conditions under which lim t → ∞ f = lim s → 0 s F. Likewise, if f [ k ] in discrete time has (unilateral) Z-transform F, then a final value theorem establishes conditions under which lim k →
brand slug:
wiki
category slug:
encyclopedia
description:
Relation between frequency- and time-domain behavior at large time
original url:
https://en.wikipedia.org/wiki/Final_value_theorem
date created:
2008-10-22T04:31:24Z
date modified:
2024-09-06T20:46:54Z
main entity:
{"identifier":"Q4272645","url":"https://www.wikidata.org/entity/Q4272645"}
image:
fields total:
13
integrity:
15