A new criterion for synchronization of image encryption systems based on passivity theory

Through the image encryption system model based on fractional order theory, the performance degradation problem caused by spatial changes and time lag factors in the image encryption system is solved, the stability and synchronization of the system are achieved, and the effect of image encryption is improved.

CN117332431BActive Publication Date: 2025-09-12NANJING TECH UNIV
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Patent Information

Application Number
CN202311211644.0
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2023-09-19
Publication Date
2025-09-12
Estimated Expiration
2043-09-19

AI Technical Summary

Technical Problem

Existing image encryption systems fail to effectively handle spatial variations and time lag factors when considering temporal changes, resulting in a decline in system performance. Parameter uncertainty and time-varying time lag are not accurately considered, affecting the stability and synchronization of the system.

Method used

Based on the fractional-order theory, a fractional-order reaction-diffusion complex network model with uncertain parameters is established. By constructing the control input and energy function, the passivity and synchronization of the image encryption system are realized. The Lyapunov functional and Laplace transform are used to ensure the stability and synchronization of the system.

Benefits of technology

The performance of the image encryption system is improved, the internal stability of the system at the energy level is ensured, and the synchronization effect is achieved without external input.

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Abstract

This invention discloses a new synchronization criterion for image encryption systems based on passivity theory. This method first establishes a fractional-order reaction-diffusion complex network model of the encryption system based on fractional differential equation theory. It then constructs a system output consisting of state variables with and without time-delays, and an external input, rendering the image encryption system passive. This method leverages the property of strictly passive systems with zero external input to achieve system synchronization, thereby enabling image encryption.
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