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Secure communication based on chaotic synchronization via interval time-varying delay feedback control

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Abstract

In this paper, a synchronization method of Lur’e systems for chaotic secure communication systems with interval time-varying delay feedback control is proposed. To increase communication security, the transmitted message is encrypted with the techniques of N-shift cipher and public key. Based on Lyapunov method and linear matrix inequality (LMI) formulation, new delay-dependent synchronization criteria are established to not only guarantee stable synchronization of both transmitter and receiver systems but also recover the transmitted original signal at the receiver. Throughout a numerical example, the validity and superiority of the proposed method are shown.

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Authors and Affiliations

  1. School of Electrical Engineering, Chungbuk National University, 410 SungBong-Ro, Heungduk-Gu, Cheongju, 361-763, Republic of Korea

    O. M. Kwon

  2. Robust Control and Nonlinear Dynamics Laboratory, Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan, 712-749, Republic of Korea

    Ju H. Park

  3. Department of Electronic Engineering, Daegu University, Gyungsan, Gyungbuk, 712-714, Republic of Korea

    S. M. Lee

Authors
  1. O. M. Kwon
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  2. Ju H. Park
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  3. S. M. Lee
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Correspondence to Ju H. Park.

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Kwon, O.M., Park, J.H. & Lee, S.M. Secure communication based on chaotic synchronization via interval time-varying delay feedback control. Nonlinear Dyn 63, 239–252 (2011). https://doi.org/10.1007/s11071-010-9800-9

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  • DOI: https://doi.org/10.1007/s11071-010-9800-9

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