Considerations about the choice of a differintegrator

Manuel D. Ortigueira; J. A Tenreiro Machado; J. Sá Da Costa

Considerations about the choice of a differintegrator

Manuel D. Ortigueira, J. A Tenreiro Machado, J. Sá Da Costa

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Despite the great advances in the theory and applications of fractional calculus, some topics remain unclear making difficult its use in a systematic way. This paper studies the fractional differintegration definition problem from a systems point of view. Both local (Grünwald-Letnikov) and global (convolutional) definitions are considered. It is shown that the Cauchy formulation must be adopted since it is coherent with usual practice in signal processing and control applications.

Original language	English
Title of host publication	ICCC 2004 - Second IEEE International Conference on Computational Cybernetics, Proceedings
Editors	W. Elmenreich, W. Haidinger, J.A.T. Machado
Pages	385-389
Number of pages	5
Publication status	Published - 2004
Event	ICCC 2004 - Second IEEE International Conference on Computational Cybernetics - Vienna, Austria Duration: 30 Aug 2004 → 1 Sept 2004

Conference

Conference	ICCC 2004 - Second IEEE International Conference on Computational Cybernetics
Country/Territory	Austria
City	Vienna
Period	30/08/04 → 1/09/04

Keywords

Fractional calculus
Fractional derivatives
Cauchy formulation
Differintegrators
Linear control systems
Signal processing
Electromagnetism
Fourier transforms
Functions
Laplace transforms
Integration

Cite this

@inproceedings{11b087dd2f7a4149a82111645ddac40c,

title = "Considerations about the choice of a differintegrator",

abstract = "Despite the great advances in the theory and applications of fractional calculus, some topics remain unclear making difficult its use in a systematic way. This paper studies the fractional differintegration definition problem from a systems point of view. Both local (Gr{\"u}nwald-Letnikov) and global (convolutional) definitions are considered. It is shown that the Cauchy formulation must be adopted since it is coherent with usual practice in signal processing and control applications.",

keywords = "Fractional calculus, Fractional derivatives, Cauchy formulation, Differintegrators, Linear control systems, Signal processing, Electromagnetism, Fourier transforms, Functions, Laplace transforms, Integration",

author = "Ortigueira, {Manuel D.} and Machado, {J. A Tenreiro} and {Da Costa}, {J. S{\'a}}",

year = "2004",

language = "English",

isbn = "0780385888",

pages = "385--389",

editor = "W. Elmenreich and W. Haidinger and J.A.T. Machado",

booktitle = "ICCC 2004 - Second IEEE International Conference on Computational Cybernetics, Proceedings",

note = "ICCC 2004 - Second IEEE International Conference on Computational Cybernetics ; Conference date: 30-08-2004 Through 01-09-2004",

}

Considerations about the choice of a differintegrator. / Ortigueira, Manuel D.; Machado, J. A Tenreiro; Da Costa, J. Sá.
ICCC 2004 - Second IEEE International Conference on Computational Cybernetics, Proceedings. ed. / W. Elmenreich; W. Haidinger; J.A.T. Machado. 2004. p. 385-389.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Ortigueira, Manuel D.

AU - Machado, J. A Tenreiro

AU - Da Costa, J. Sá

PY - 2004

Y1 - 2004

N2 - Despite the great advances in the theory and applications of fractional calculus, some topics remain unclear making difficult its use in a systematic way. This paper studies the fractional differintegration definition problem from a systems point of view. Both local (Grünwald-Letnikov) and global (convolutional) definitions are considered. It is shown that the Cauchy formulation must be adopted since it is coherent with usual practice in signal processing and control applications.

AB - Despite the great advances in the theory and applications of fractional calculus, some topics remain unclear making difficult its use in a systematic way. This paper studies the fractional differintegration definition problem from a systems point of view. Both local (Grünwald-Letnikov) and global (convolutional) definitions are considered. It is shown that the Cauchy formulation must be adopted since it is coherent with usual practice in signal processing and control applications.

KW - Fractional calculus

KW - Fractional derivatives

KW - Cauchy formulation

KW - Differintegrators

KW - Linear control systems

KW - Signal processing

KW - Electromagnetism

KW - Fourier transforms

KW - Functions

KW - Laplace transforms

KW - Integration

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M3 - Conference contribution

AN - SCOPUS:20844453047

SN - 0780385888

SN - 9780780385887

SP - 385

EP - 389

BT - ICCC 2004 - Second IEEE International Conference on Computational Cybernetics, Proceedings

A2 - Elmenreich, W.

A2 - Haidinger, W.

A2 - Machado, J.A.T.

T2 - ICCC 2004 - Second IEEE International Conference on Computational Cybernetics

Y2 - 30 August 2004 through 1 September 2004

ER -

Considerations about the choice of a differintegrator

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