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Instability of impulsive stochastic systems with application to image encryption

Author

Listed:
  • Wei, Tengda
  • Lin, Ping
  • Zhu, Quanxin
  • Yao, Qi

Abstract

This paper concerns the stochastic instability of impulsive stochastic systems with application to image encryption. Based on comparison principle, the sufficient conditions for instability in probability of impulsive stochastic systems are obtained by the instability of continuous comparison system established by Lyapunov function. It also shows how to determine stochastic instability of impulsive stochastic systems when stability conditions fail. The effectiveness of theoretical results is verified by two numerical examples, whose chaotic signals are successfully used for image encryption.

Suggested Citation

  • Wei, Tengda & Lin, Ping & Zhu, Quanxin & Yao, Qi, 2021. "Instability of impulsive stochastic systems with application to image encryption," Applied Mathematics and Computation, Elsevier, vol. 402(C).
    • Handle: RePEc:eee:apmaco:v:402:y:2021:i:c:s0096300321001466
    DOI: 10.1016/j.amc.2021.126098
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    References listed on IDEAS

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    1. Yi, Chengbo & Feng, Jianwen & Wang, Jingyi & Xu, Chen & Zhao, Yi, 2017. "Synchronization of delayed neural networks with hybrid coupling via partial mixed pinning impulsive control," Applied Mathematics and Computation, Elsevier, vol. 312(C), pages 78-90.
    2. Yao, Fengqi & Deng, Feiqi, 2012. "Exponential stability in terms of two measures of impulsive stochastic functional differential systems via comparison principle," Statistics & Probability Letters, Elsevier, vol. 82(6), pages 1151-1159.
    3. Giulia Di Nunno & Thilo Meyer-Brandis & Bernt Øksendal & Frank Proske, 2006. "Optimal portfolio for an insider in a market driven by Levy processes," Quantitative Finance, Taylor & Francis Journals, vol. 6(1), pages 83-94.
    4. Li, Xiaodi & Shen, Jianhua & Akca, Haydar & Rakkiyappan, R., 2015. "LMI-based stability for singularly perturbed nonlinear impulsive differential systems with delays of small parameter," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 798-804.
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