Journal
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Volume 42, Issue 12, Pages 2045-2055Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207721003706886
Keywords
control; linear systems; queueing theory; Laplace transform; irrational functions; noninteger integration; ergodic systems
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The present work considers two published generalisations of the Laplace-transform final value theorem (FVT) and some recently appeared applications of one of these generalisations to the fields of physical stochastic processes and Internet queueing. Physical sense of the irrational time functions, involved in the other generalisation, is one of the points of concern. The work strongly extends the conceptual frame of the references and outlines some new research directions for applications of the generalised theorem.
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