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Fractional Analysis of Traffic Dynamics

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Dynamics, Games and Science I

Part of the book series: Springer Proceedings in Mathematics ((PROM,volume 1))

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Abstract

This article presents a dynamical analysis of several traffic phenomena, applying a new modelling formalism based on the embedding of statistics and Laplace transform. The new dynamic description integrates the concepts of fractional calculus leading to a more natural treatment of the continuum of the Transfer Function parameters intrinsic in this system. The results using system theory tools point out that it is possible to study traffic systems, taking advantage of the knowledge gathered with automatic control algorithms.

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References

  1. Figueiredo, L., Machado, J., Ferreira J.: Dynamical analysis of freeway traffic. IEEE Trans. Intell. Transp. Syst. 5(4), ISSN: 1524-9050, 259–266 (2004)

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  2. Machado, J.: A probabilistic interpretation of the fractional-order differentiation. J. Fractional Calc. Appl. Anal. 6(1), 73–80 (2003)

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  3. Machado, J., Galhano A.: A statistical perspective to the Fourier Analysis of mechanical manipulators. J. Syst. Anal. Model. Simul. 33, 373–384 (1998)

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Correspondence to Lino Figueiredo .

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Figueiredo, L., Machado, J.A.T. (2011). Fractional Analysis of Traffic Dynamics. In: Peixoto, M., Pinto, A., Rand, D. (eds) Dynamics, Games and Science I. Springer Proceedings in Mathematics, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11456-4_22

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