Synchronization and secure transmission of data in incommensurate fractional-order chaotic systems using a sigmoid-like controller

Juan L. Mata-Machuca; Ricardo Aguilar-Lopez

doi:10.1109/MWSCAS.2019.8884982

Synchronization and secure transmission of data in incommensurate fractional-order chaotic systems using a sigmoid-like controller

Juan L. Mata-Machuca, Ricardo Aguilar-Lopez

Unidad Profesional Interdisciplinaria de Ingeniería y Tecnologías Avanzadas (UPIITA)

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

Abstract

In this contribution a control scheme for a class of fractional-order chaotic systems and its application in the synchronization and secure transmission of data problems is designed. The asymptotic stability of the synchronization error and the ultimate bound of the information recovery error are established employing the fractional Lyapunov direct method. The proposed sigmoid-like controller is used as input to the receiver system whose states are asymptotically synchronized with the transmitter system. The technique has been applied in the synchronization and secure communications of the incommensurate fractional-order Rössler and Chen systems.

Original language	English
Title of host publication	2019 IEEE 62nd International Midwest Symposium on Circuits and Systems, MWSCAS 2019
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	666-669
Number of pages	4
ISBN (Electronic)	9781728127880
DOIs	https://doi.org/10.1109/MWSCAS.2019.8884982
State	Published - Aug 2019
Event	62nd IEEE International Midwest Symposium on Circuits and Systems, MWSCAS 2019 - Dallas, United States Duration: 4 Aug 2019 → 7 Aug 2019

Publication series

Name	Midwest Symposium on Circuits and Systems
Volume	2019-August
ISSN (Print)	1548-3746

Conference

Conference	62nd IEEE International Midwest Symposium on Circuits and Systems, MWSCAS 2019
Country/Territory	United States
City	Dallas
Period	4/08/19 → 7/08/19

Access to Document

10.1109/MWSCAS.2019.8884982

Cite this

Mata-Machuca, J. L., & Aguilar-Lopez, R. (2019). Synchronization and secure transmission of data in incommensurate fractional-order chaotic systems using a sigmoid-like controller. In 2019 IEEE 62nd International Midwest Symposium on Circuits and Systems, MWSCAS 2019 (pp. 666-669). Article 8884982 (Midwest Symposium on Circuits and Systems; Vol. 2019-August). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/MWSCAS.2019.8884982

Mata-Machuca, Juan L. ; Aguilar-Lopez, Ricardo. / Synchronization and secure transmission of data in incommensurate fractional-order chaotic systems using a sigmoid-like controller. 2019 IEEE 62nd International Midwest Symposium on Circuits and Systems, MWSCAS 2019. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 666-669 (Midwest Symposium on Circuits and Systems).

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abstract = "In this contribution a control scheme for a class of fractional-order chaotic systems and its application in the synchronization and secure transmission of data problems is designed. The asymptotic stability of the synchronization error and the ultimate bound of the information recovery error are established employing the fractional Lyapunov direct method. The proposed sigmoid-like controller is used as input to the receiver system whose states are asymptotically synchronized with the transmitter system. The technique has been applied in the synchronization and secure communications of the incommensurate fractional-order R{\"o}ssler and Chen systems.",

author = "Mata-Machuca, {Juan L.} and Ricardo Aguilar-Lopez",

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Mata-Machuca, JL & Aguilar-Lopez, R 2019, Synchronization and secure transmission of data in incommensurate fractional-order chaotic systems using a sigmoid-like controller. in 2019 IEEE 62nd International Midwest Symposium on Circuits and Systems, MWSCAS 2019., 8884982, Midwest Symposium on Circuits and Systems, vol. 2019-August, Institute of Electrical and Electronics Engineers Inc., pp. 666-669, 62nd IEEE International Midwest Symposium on Circuits and Systems, MWSCAS 2019, Dallas, United States, 4/08/19. https://doi.org/10.1109/MWSCAS.2019.8884982

Synchronization and secure transmission of data in incommensurate fractional-order chaotic systems using a sigmoid-like controller. / Mata-Machuca, Juan L.; Aguilar-Lopez, Ricardo.
2019 IEEE 62nd International Midwest Symposium on Circuits and Systems, MWSCAS 2019. Institute of Electrical and Electronics Engineers Inc., 2019. p. 666-669 8884982 (Midwest Symposium on Circuits and Systems; Vol. 2019-August).

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

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AB - In this contribution a control scheme for a class of fractional-order chaotic systems and its application in the synchronization and secure transmission of data problems is designed. The asymptotic stability of the synchronization error and the ultimate bound of the information recovery error are established employing the fractional Lyapunov direct method. The proposed sigmoid-like controller is used as input to the receiver system whose states are asymptotically synchronized with the transmitter system. The technique has been applied in the synchronization and secure communications of the incommensurate fractional-order Rössler and Chen systems.

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Mata-Machuca JL, Aguilar-Lopez R. Synchronization and secure transmission of data in incommensurate fractional-order chaotic systems using a sigmoid-like controller. In 2019 IEEE 62nd International Midwest Symposium on Circuits and Systems, MWSCAS 2019. Institute of Electrical and Electronics Engineers Inc. 2019. p. 666-669. 8884982. (Midwest Symposium on Circuits and Systems). doi: 10.1109/MWSCAS.2019.8884982

Synchronization and secure transmission of data in incommensurate fractional-order chaotic systems using a sigmoid-like controller

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