Parameters identification and dual synchronization between different chaotic and hyperchaotic systems
Volume 18, Issue 4, pp 398--410
http://dx.doi.org/10.22436/jmcs.018.04.02
Publication Date: October 25, 2018
Submission Date: November 28, 2017
Revision Date: June 17, 2018
Accteptance Date: September 19, 2018
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Authors
A. Othman Almatroud
- Mathematics Department, Faculty of Science, University of Hail, Kingdom of Saudi Arabia.
M. S. M. Noorani
- School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia.
M. Mossa Al-sawalha
- Mathematics Department, Faculty of Science, University of Hail, Kingdom of Saudi Arabia.
Abstract
This paper investigates the adaptive dual synchronization of
completely different four chaotic and hyperchaotic systems with
unknown parameters. Based on the Lyapunov stability theory, an
efficient adaptive synchronization controller is constructed that
converges the synchronization error signals to the origin with
sufficient transient speed. Suitable adaptive laws of unknown
parameters are designed that converged the estimated values of the
unknown parameters to the true values of the systems parameters.
Two numerical examples are presented and simulation results are
derived to illustrate the effectiveness of the proposed dual
synchronization approach.
Share and Cite
ISRP Style
A. Othman Almatroud, M. S. M. Noorani, M. Mossa Al-sawalha, Parameters identification and dual synchronization between different chaotic and hyperchaotic systems, Journal of Mathematics and Computer Science, 18 (2018), no. 4, 398--410
AMA Style
Almatroud A. Othman, Noorani M. S. M., Al-sawalha M. Mossa, Parameters identification and dual synchronization between different chaotic and hyperchaotic systems. J Math Comput SCI-JM. (2018); 18(4):398--410
Chicago/Turabian Style
Almatroud, A. Othman, Noorani, M. S. M., Al-sawalha, M. Mossa. "Parameters identification and dual synchronization between different chaotic and hyperchaotic systems." Journal of Mathematics and Computer Science, 18, no. 4 (2018): 398--410
Keywords
- Chaos
- dual synchronization
- adaptive control
- unknown parameters
- Lyapunov stability theory
MSC
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