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

Manuel Duarte Ortigueira; DEE Group Author

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

Manuel Duarte Ortigueira, DEE Group Author

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

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.

Original language	Unknown
Title of host publication	ICINCO 2009: PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON INFORMATICS IN CONTROL, AUTOMATION AND ROBOTICS
Pages	196-202
Publication status	Published - 1 Jan 2009
Event	6th International Conference on Informatics in Control, Automation and Robotics - Duration: 1 Jan 2009 → …

Conference

Conference	6th International Conference on Informatics in Control, Automation and Robotics
Period	1/01/09 → …

Cite this

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title = "ON THE LINEAR SCALE FRACTIONAL SYSTEMS An Application of the Fractional Quantum Derivative",

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.",

author = "Ortigueira, {Manuel Duarte} and {DEE Group Author}",

year = "2009",

month = jan,

day = "1",

language = "Unknown",

pages = "196--202",

booktitle = "ICINCO 2009: PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON INFORMATICS IN CONTROL, AUTOMATION AND ROBOTICS",

note = "6th International Conference on Informatics in Control, Automation and Robotics ; Conference date: 01-01-2009",

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ON THE LINEAR SCALE FRACTIONAL SYSTEMS An Application of the Fractional Quantum Derivative. / Ortigueira, Manuel Duarte; DEE Group Author.
ICINCO 2009: PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON INFORMATICS IN CONTROL, AUTOMATION AND ROBOTICS. 2009. p. 196-202.

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

TY - GEN

T1 - ON THE LINEAR SCALE FRACTIONAL SYSTEMS An Application of the Fractional Quantum Derivative

AU - Ortigueira, Manuel Duarte

AU - DEE Group Author

PY - 2009/1/1

Y1 - 2009/1/1

N2 - 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.

AB - 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.

M3 - Conference contribution

SP - 196

EP - 202

BT - ICINCO 2009: PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON INFORMATICS IN CONTROL, AUTOMATION AND ROBOTICS

T2 - 6th International Conference on Informatics in Control, Automation and Robotics

Y2 - 1 January 2009

ER -