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Optimal Synchronization of Complex Chaotic T-Systems and Its Application in Secure Communication

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Abstract

This study investigates the optimal synchronization of two identical complex chaotic master and slave systems. The master and slave systems are complex T-systems, in which parameters of the slave system are completely uncertain. The optimal adaptive control scheme is also used for synchronization in infinite and finite time intervals. The stability of proposed method is proved using Lyapunov stability theorem. Moreover, synchronization results are applied to secure communication via modified masking method. To this end, the known parameters and the estimation of unknown parameters are used as encryption and decryption keys, respectively. Numerical simulations illustrate the ability and effectiveness of proposed method.

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Authors and Affiliations

  1. Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran

    Bashir Naderi & Aghileh Heydari

  2. Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

    Hossein Kheiri

  3. Department of Biomedical Engineering, Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, 116024, China

    Reza Mahini

Authors
  1. Bashir Naderi
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  2. Hossein Kheiri
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  3. Aghileh Heydari
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  4. Reza Mahini
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Correspondence to Bashir Naderi.

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Naderi, B., Kheiri, H., Heydari, A. et al. Optimal Synchronization of Complex Chaotic T-Systems and Its Application in Secure Communication. J Control Autom Electr Syst 27, 379–390 (2016). https://doi.org/10.1007/s40313-016-0245-3

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  • DOI: https://doi.org/10.1007/s40313-016-0245-3

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