Document Type
Report
Source Publication Title
Technical Report 358
Abstract
Laplace transform is used to analyze the differential-difference equation for the linear car-following model. The car-following model has been developed to describe the dynamics of a platoon of vehicles initially traveling at uniform speed and spacing when the lead vehicle introduces a perturbation by decelerating or accelerating. Shifting theorem and the convolution theorem for Laplace transforms are used to model fluctuations in velocities and spacing of following vehicles as a function of the deceleration or acceleration of the lead car when the initial velocity and spacing are given.
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
1-1-2008
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Ardekani, Siamak and Ghandehari, Mostafa, "The Laplace Transform of the Linear Car-following Model" (2008). Mathematics Technical Papers. 92.
https://mavmatrix.uta.edu/math_technicalpapers/92