Instability of impulsive stochastic systems with application to image encryption

Tengda Wei, Ping Lin, Quanxin Zhu and Qi Yao

Applied Mathematics and Computation, 2021, vol. 402, issue C

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.

Keywords: Instability; Impulsive stochastic system; Comparison principle; Image encryption (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:402:y:2021:i:c:s0096300321001466

DOI: 10.1016/j.amc.2021.126098

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