Instability Of Impulsive Stochastic Systems With Application To Image Encryption

APPLIED MATHEMATICS AND COMPUTATION(2021)

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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. (C) 2021 Elsevier Inc. All rights reserved.
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Key words
Instability, Impulsive stochastic system, Comparison principle, Image encryption
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