Instability of impulsive stochastic systems with application to image encryption

Tengda Wei, Ping Lin, Quanxin Zhu (Lead / Corresponding author), Qi Yao

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Article number126098
Number of pages13
JournalApplied Mathematics and Computation
Volume402
Early online date27 Feb 2021
DOIs
Publication statusE-pub ahead of print - 27 Feb 2021

Keywords

  • Comparison principle
  • Image encryption
  • Impulsive stochastic system
  • Instability

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