Modify adaptive combined synchronization of fractional order chaotic systems with fully unknown parameters

Volume 21, Issue 2, pp 99--112 http://dx.doi.org/10.22436/jmcs.021.02.01
Publication Date: March 26, 2020 Submission Date: November 09, 2019 Revision Date: January 15, 2020 Accteptance Date: February 12, 2020

Authors

A. Othman Almatroud - Mathematics Department, Faculty of Science, University of Ha'il, Kingdom of Saudi Arabia. O. Ababneh - School of Mathematics, Zarqa University, Zarqa, Jordan. M. Mossa Al-sawalha - Mathematics Department, Faculty of Science, University of Ha'il, Kingdom of Saudi Arabia.


Abstract

This article presents a modify adaptive combined synchronization for a class of different unknown fractional order chaotic systems. A combination of different states of the drive systems asymptotically synchronizes with the desired states of the response system. Hence, increases the complexity of the communication channel in secrete communications. The Lyapunov stability theory proves the asymptotic stability of the error system at the origin. The design of a suitable adaptive controller assures the target synchronization. This work provides parameters update laws that estimate the true values of unknown parameters. This paper also presents two numerical examples of unknown different fractional order chaotic systems and simulation results that validate the efficiency and performance of the proposed adaptive combined synchronization strategy. The presented adaptive combined synchronization strategy can be applied to multiple synchronization strategies. The paper suggests some future problems related to this work.


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ISRP Style

A. Othman Almatroud, O. Ababneh, M. Mossa Al-sawalha, Modify adaptive combined synchronization of fractional order chaotic systems with fully unknown parameters, Journal of Mathematics and Computer Science, 21 (2020), no. 2, 99--112

AMA Style

Almatroud A. Othman, Ababneh O., Al-sawalha M. Mossa, Modify adaptive combined synchronization of fractional order chaotic systems with fully unknown parameters. J Math Comput SCI-JM. (2020); 21(2):99--112

Chicago/Turabian Style

Almatroud, A. Othman, Ababneh, O., Al-sawalha, M. Mossa. "Modify adaptive combined synchronization of fractional order chaotic systems with fully unknown parameters." Journal of Mathematics and Computer Science, 21, no. 2 (2020): 99--112


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