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International Journal of System Signal Control and Engineering Application

ISSN: Online
ISSN: Print 1997-5422
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Adaptive Controller Design for the Generalized Projective Synchronization of Hyperchaotic Lü and Hyperchaotic Cai Systems

P. Sarasu and V. Sundarapandian
Page: 79-94 | Received 21 Sep 2022, Published online: 21 Sep 2022

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Abstract

This study presents the adaptive controller design for the Generalized Projective Synchronization (GPS) of identical hyperchaotic Lu systems, i.dentical hyperchaotic Cai systems and non-identical hyperchaotic L ü and hyperchaotic Cai systems. The adaptive GPS synchronization results derived in this study have been proved using the adaptive control theory and Lyapunov stability theory. Since, the Lyapunov exponents are not required for these calculations, the proposed adaptive control method is very effective and convenient for achieving the Generalized Projective Synchronization (GPS) of the hyperchaotic systems addressed in this study. Numerical simulations are shown to demonstrate the effectiveness of the adaptive GPS synchronization results derived in this study for the hyperchaotic Lü and hyperchaotic Cai systems.


How to cite this article:

P. Sarasu and V. Sundarapandian. Adaptive Controller Design for the Generalized Projective Synchronization of Hyperchaotic Lü and Hyperchaotic Cai Systems.
DOI: https://doi.org/10.36478/ijssceapp.2020.79.94
URL: https://www.makhillpublications.co/view-article/1997-5422/ijssceapp.2020.79.94