final-value theorem

final-value theorem

[¦fīn·əl ¦val·yü ¦thir·əm]
(mathematics)
The theorem that if ƒ(t) is a function which has a Laplace transform F (s), and if the derivative of ƒ(t) with respect to t is also Laplace transformable, and if the limit of ƒ(t) as t approaches infinity exists, then this limit is equal to the limit of sF (s) as s approaches zero.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Then using the Final-Value Theorem for any i [member of] R, one obtains