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Journal of Engineering and Applied Sciences

ISSN: Online 1818-7803
ISSN: Print 1816-949x
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Adaptive Anti-Synchronization of Uncertain Tigan and Li Systems

V. Sundarapandian and R. Karthikeyan
Page: 45-52 | Received 21 Sep 2022, Published online: 21 Sep 2022

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Abstract

In this study, researchers apply adaptive control method to derive new results for the anti- synchronization of identical Tigan Systems (2008), identical Li Systems (2009) and non-identical Tigan and Li Systems. In adaptive anti-synchronization of identical chaotic systems, the parameters of the master and slave systems are unknown and researchers devise feedback control law using the estimates of the system parameters. In adaptive anti-synchronization of non-identical chaotic systems, the parameters of the master system are known but the parameters of the slave system are unknown and researchers devise feedback control law using the estimates of the parameters of the slave system. The adaptive synchronization results derived in this study for the uncertain Tigan and Li Systems are established using Lyapunov Stability Theory. Since, the Lyapunov exponents are not required for these calculations, the adaptive control method is very effective and convenient to achieve anti-synchronization of identical and non-identical Tigan and Li Systems. Numerical simulations are shown to demonstrate the effectiveness of the adaptive anti-synchronization schemes for the uncertain chaotic systems addressed in this study.


How to cite this article:

V. Sundarapandian and R. Karthikeyan. Adaptive Anti-Synchronization of Uncertain Tigan and Li Systems.
DOI: https://doi.org/10.36478/jeasci.2012.45.52
URL: https://www.makhillpublications.co/view-article/1816-949x/jeasci.2012.45.52