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Synchronization of the Extended Bonhoffer-Van der Pol Oscillators
Joint Authors
Alshamali, Saleh
Zribi, Mohamed
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-27
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper deals with the synchronization of two extended Bonhoffer-Van der Pol (B-VDP) oscillators.
A Lyapunov-based controller and a sliding mode controller are proposed for the synchronizationof the oscillators.
Both design schemes use a single input controller acting on one state only.
Asymptotic stability results for the closed-loop system are derived using Lyapunov theory.
It is shown that the proposed controllers effectively synchronize the driver and the response systems for the case when nominal values of the system parameters are used, and for the case when parameter perturbations are introduced.
Simulation results are presented to show the effectiveness of the proposed controllers.
American Psychological Association (APA)
Zribi, Mohamed& Alshamali, Saleh. 2012. Synchronization of the Extended Bonhoffer-Van der Pol Oscillators. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-1029872
Modern Language Association (MLA)
Zribi, Mohamed& Alshamali, Saleh. Synchronization of the Extended Bonhoffer-Van der Pol Oscillators. Mathematical Problems in Engineering No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-1029872
American Medical Association (AMA)
Zribi, Mohamed& Alshamali, Saleh. Synchronization of the Extended Bonhoffer-Van der Pol Oscillators. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-1029872
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029872