Anti-synchronization of fractional order chaotic and hyperchaotic systems with fully unknown parameters using modified adaptive control-Reference-Cited by-同舟云学术

Anti-synchronization of fractional order chaotic and hyperchaotic systems with fully unknown parameters using modified adaptive control

Published:2016-01-01 Issue:1 Volume:14 Page:304-313
ISSN:2391-5471
Container-title:Open Physics
language:
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Author:

Al-Sawalha M. Mossa¹,Al-Sawalha Ayman²

Affiliation:

1. 1Mathematics Department, Faculty of Science, University of Hail, Kingdom of Arabia

2. 2Physics Department, Faculty of Science, Jerash University, Jerash, Jordan

Abstract

AbstractThe objective of this article is to implement and extend applications of adaptive control to anti-synchronize different fractional order chaotic and hyperchaotic dynamical systems. The sufficient conditions for achieving anti–synchronization are derived by using the Lyapunov stability theory and an analytic expression of the controller with its adaptive laws of parameters is shown. Theoretical analysis and numerical simulations are shown to verify the results.

Publisher

Walter de Gruyter GmbH

Subject

General Physics and Astronomy

Link

https://www.degruyter.com/document/doi/10.1515/phys-2016-0033/pdf

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