IJPAM: Volume 13, No. 2 (2004)

FRACTIONAL-ORDER DYNAMICS IN
FREEWAY TRAFFIC

Lino Figueiredo$^1$, J. A. Tenreiro Machado$^2$, José Rui Ferreira$^3$
$^{1,2}$Department of Electrical Engineering
Institute of Engineering of Porto
Rua Dr. Antonio Bernardino de Almeida
4200-072 Porto, PORTUGAL
$^1$e-mail:lino@dee.isep.ipp.pt.
$^2$e-mail: jtm@dee.isep.ipp.pt.
$^3$Department of Electrical and Computer Engineering
Faculty of Engineering
University of Porto
Rua Roberto Frias, 4200-465 Porto, PORTUGAL
e-mail: jrf@fe.up.pt


Abstract.This paper presents the Simulator of Intelligent Transportation Systems (SITS). The SITS is based on a microscopic simulation approach to reproduce real traffic conditions, both in urban and non-urban networks, and considers different types of vehicles, drivers and roads. A dynamical analysis of several traffic phenomena is then addressed. The results of using classical system theory tools point out that it is possible to study traffic systems taking advantage on the knowledge gathered with automatic control algorithms. In this line of thought, it is also presented a new modelling formalism based on the embedding of statistics and Fourier transform.

Received: February 10, 2004

AMS Subject Classification: 26A33, 37N35, 93E12, 93E03

Key Words and Phrases: intelligent transportation systems, simulation and modelling, car traffic control, dynamics, fractional calculus

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 13
Issue: 2