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

Manuel Duarte Ortigueira

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Paper

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

Topics: Time Series and System Modeling

In Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO, 196-202, 2009 , Milan, Italy

Author: Manuel Duarte Ortigueira

Affiliation: UNINOVA and DEE of Faculdade de Ciências e Tecnologia da UNL, Portugal

Keyword(s): Linear Scale Invariant Systems, Fractional Linear Systems, Fractional Quantum Derivative.

Related Ontology Subjects/Areas/Topics: Informatics in Control, Automation and Robotics ; Signal Processing, Sensors, Systems Modeling and Control ; Time Series and System Modeling

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.

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Paper citation in several formats:

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; ISSN 2184-2809, SciTePress, pages 196-202. DOI: 10.5220/0002246901960202

@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},
issn={2184-2809},
}

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
IS - 2184-2809
AU - Duarte Ortigueira, M.
PY - 2009
SP - 196
EP - 202
DO - 10.5220/0002246901960202
PB - SciTePress