Adaptive Feedback Control for Chaos Control and Synchronization for New Chaotic Dynamical System
Joint Authors
Yassen, Mahmoud T.
El-Dessoky, M. M.
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-10
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper investigates the problem of chaos control and synchronization for new chaotic dynamical system and proposes a simple adaptive feedback control method for chaos control and synchronization under a reasonable assumption.
In comparison with previous methods, the present control technique is simple both in the form of the controller and its application.
Based on Lyapunov's stability theory, adaptive control law is derived such that the trajectory of the new system with unknown parameters is globally stabilized to the origin.
In addition, an adaptive control approach is proposed to make the states of two identical systems with unknown parameters asymptotically synchronized.
Numerical simulations are shown to verify the analytical results.
American Psychological Association (APA)
El-Dessoky, M. M.& Yassen, Mahmoud T.. 2012. Adaptive Feedback Control for Chaos Control and Synchronization for New Chaotic Dynamical System. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-1001524
Modern Language Association (MLA)
El-Dessoky, M. M.& Yassen, Mahmoud T.. Adaptive Feedback Control for Chaos Control and Synchronization for New Chaotic Dynamical System. Mathematical Problems in Engineering No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-1001524
American Medical Association (AMA)
El-Dessoky, M. M.& Yassen, Mahmoud T.. Adaptive Feedback Control for Chaos Control and Synchronization for New Chaotic Dynamical System. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-1001524
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001524