ON THE LINEAR SCALE FRACTIONAL SYSTEMS - An Application of the Fractional Quantum Derivative

Manuel Duarte Ortigueira

2009

Abstract

The Linear Scale Invariant Systems are introduced for both integer and fractional orders. They are defined by the generalized Euler-Cauchy differential equation. It is shown how to compute the impulse responses corresponding to the two regions of convergence of the transfer function. This is obtained by using the Mellin transform. The quantum fractional derivatives are used because they are suitable for dealing with this kind of systems.

Paper Citation

in Harvard Style

Duarte Ortigueira M. (2009). ON THE LINEAR SCALE FRACTIONAL SYSTEMS - An Application of the Fractional Quantum Derivative . In Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO, ISBN 978-989-674-001-6, pages 196-202. DOI: 10.5220/0002246901960202

in Bibtex Style

@conference{icinco09,
author={Manuel Duarte Ortigueira},
title={ON THE LINEAR SCALE FRACTIONAL SYSTEMS - An Application of the Fractional Quantum Derivative},
booktitle={Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,},
year={2009},
pages={196-202},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002246901960202},
isbn={978-989-674-001-6},
}

in EndNote Style

TY - CONF
JO - Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,
TI - ON THE LINEAR SCALE FRACTIONAL SYSTEMS - An Application of the Fractional Quantum Derivative
SN - 978-989-674-001-6
AU - Duarte Ortigueira M.
PY - 2009
SP - 196
EP - 202
DO - 10.5220/0002246901960202