Instability of impulsive stochastic systems with application to image encryption

Tengda Wei; Ping Lin; Quanxin Zhu; Qi Yao

doi:10.1016/j.amc.2021.126098

Instability of impulsive stochastic systems with application to image encryption

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

Mathematics

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6 Citations (Scopus)

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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.

Original language	English
Article number	126098
Number of pages	13
Journal	Applied Mathematics and Computation
Volume	402
Early online date	27 Feb 2021
DOIs	https://doi.org/10.1016/j.amc.2021.126098
Publication status	Published - 1 Aug 2021

Keywords

Comparison principle
Image encryption
Impulsive stochastic system
Instability

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2021.126098Licence: Elsevier User Licence

Author Accepted ManuscriptAccepted author manuscript, 1.44 MBLicence: CC BY-NC-ND

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title = "Instability of impulsive stochastic systems with application to image encryption",

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 = "Comparison principle, Image encryption, Impulsive stochastic system, Instability",

author = "Tengda Wei and Ping Lin and Quanxin Zhu and Qi Yao",

note = "Funding Information: This work was supported by the National Natural Science Foundation of China ( 61773217 ), Hunan Provincial Science and Technology Project Foundation (2019RS1033), the Scientific Fund of Hunan Provincial Education Department (18A013), Hunan Normal University National Outstanding Youth Cultivation Project (XP1180101), the Construct Program of the Key Discipline in Hunan Province, China Postdoctoral Science Foundation ( 2020M672109 ), and Shandong Province Postdoctoral Innovation Project. Publisher Copyright: {\textcopyright} 2021 Elsevier Inc.",

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T1 - Instability of impulsive stochastic systems with application to image encryption

AU - Wei, Tengda

AU - Lin, Ping

AU - Zhu, Quanxin

AU - Yao, Qi

N1 - Funding Information: This work was supported by the National Natural Science Foundation of China ( 61773217 ), Hunan Provincial Science and Technology Project Foundation (2019RS1033), the Scientific Fund of Hunan Provincial Education Department (18A013), Hunan Normal University National Outstanding Youth Cultivation Project (XP1180101), the Construct Program of the Key Discipline in Hunan Province, China Postdoctoral Science Foundation ( 2020M672109 ), and Shandong Province Postdoctoral Innovation Project. Publisher Copyright: © 2021 Elsevier Inc.

PY - 2021/8/1

Y1 - 2021/8/1

N2 - 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.

AB - 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.

KW - Comparison principle

KW - Image encryption

KW - Impulsive stochastic system

KW - Instability

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SN - 0096-3003

VL - 402

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

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Instability of impulsive stochastic systems with application to image encryption

Abstract

Keywords

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