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Feedback control of digital chaotic systems with application to pseudorandom number generator

Author

Listed:
  • Yashuang Deng

    (School of Automation, Huazhong University of Science and Technology, 1037 Luoyu Road, Wuhan 430074, China)

  • Hanping Hu

    (School of Automation, Huazhong University of Science and Technology, 1037 Luoyu Road, Wuhan 430074, China)

  • Lingfeng Liu

    (School of Automation, Huazhong University of Science and Technology, 1037 Luoyu Road, Wuhan 430074, China)

Abstract

The dynamical properties will degrade when chaotic systems are implemented in digital computers with finite precisions, and such degradation often has serious negative influence on some digital chaos-based systems. Degradation reduction for a class of digital chaotic systems is investigated in this paper. A varying parameter control method is proposed based on the state feedback control technology at first. Then two chaotic maps are applied to verify its validity. Finally, a novel pseudorandom number generator is constructed, which can pass all the tests of NIST SP800-22 at both level-one and level-two approaches and also most of the tests of TestU01. Moreover, it performs better than some existing pseudorandom number generators. Thus, it has acceptable quality of randomness and can be used for cryptography and other applications.

Suggested Citation

  • Yashuang Deng & Hanping Hu & Lingfeng Liu, 2015. "Feedback control of digital chaotic systems with application to pseudorandom number generator," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 26(02), pages 1-20.
    • Handle: RePEc:wsi:ijmpcx:v:26:y:2015:i:02:n:s0129183115500229
    DOI: 10.1142/S0129183115500229
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    Cited by:

    1. Nardo, Lucas G. & Nepomuceno, Erivelton G. & Arias-Garcia, Janier & Butusov, Denis N., 2019. "Image encryption using finite-precision error," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 69-78.

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