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Synchronization of Identical and Nonidentical Memristor-based Chaotic Systems Via Active Backstepping Control Technique

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Abstract

This paper investigates the problem of synchronization of identical and nonidentical memristor-based chaotic systems via active backstepping control technique. In order to achieve synchronization for identical chaotic systems, a memristor-based Lorenz system is considered as both master and slave systems, and for nonidentical chaotic systems, memristor-based Lorenz and Chuas systems are considered as master and slave systems, respectively. Based on the Lyapunov stability theory and active backstepping control technique, proper controllers are designed to achieve synchronization. Finally, numerical simulations are provided to show the effectiveness of the proposed controller.

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Authors and Affiliations

  1. Department of Mathematics, Bharathiar University, Coimbatore, 641 046, Tamilnadu, India

    R. Rakkiyappan & R. Sivasamy

  2. School of Mathematical Sciences, Shandong Normal University, Jinan, 250014, People’s Republic of China

    Xiaodi Li

Authors
  1. R. Rakkiyappan
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  2. R. Sivasamy
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  3. Xiaodi Li
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Correspondence to R. Rakkiyappan.

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Rakkiyappan, R., Sivasamy, R. & Li, X. Synchronization of Identical and Nonidentical Memristor-based Chaotic Systems Via Active Backstepping Control Technique. Circuits Syst Signal Process 34, 763–778 (2015). https://doi.org/10.1007/s00034-014-9883-5

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  • DOI: https://doi.org/10.1007/s00034-014-9883-5

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