Bilateral Distributed Delays and Their Use in Modeling Classes of Distributed Parameter Processes

A bilateral distributed delay model is developed which is useful in modeling a number of reversible processes with or without losses. It is shown that as k, the number of stages in the delay process, becomes large the solution of the distributed delay model approaches that of a first-order partial d...

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Bibliographic Details
Published in:IEEE transactions on systems, man, and cybernetics man, and cybernetics, 1980-01, Vol.10 (2), p.61-67
Main Author: Manetsch, Thomas J.
Format: Article
Language:English
Subjects:
Aging
Biological system modeling
Control system synthesis
Delay effects
Digital simulation
Partial differential equations
Random variables
Transportation
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Summary:A bilateral distributed delay model is developed which is useful in modeling a number of reversible processes with or without losses. It is shown that as k, the number of stages in the delay process, becomes large the solution of the distributed delay model approaches that of a first-order partial differential equation with a number of important applications in modeling distributed parameter flow processes in the real world. It is also shown that with smaller k values the distributed delay model introduces z-axis diffusion which can be useful in modeling some flow-plus-diffusion processes. This paper is concluded with an illustrative application of the bilateral distributed delay.
ISSN:0018-9472
2168-2909
DOI:10.1109/TSMC.1980.4308434