Stability of stochastic impulsive reaction-diffusion neural networks with S-type distributed delays and its application to image encryption.

Authors:
Tengda Wei
Tengda Wei
School of Mathematical Sciences Ocean University of China Qingdao Shandong China
Ping Lin
Ping Lin
Sichuan University
China
Yangfan Wang
Yangfan Wang
Ocean University of China
China
Linshan Wang
Linshan Wang
Dept. of Math.

Neural Netw 2019 Apr 4;116:35-45. Epub 2019 Apr 4.

School of Mathematical Sciences, Ocean University of China, Qingdao 266100, China. Electronic address:

In this paper, we study stochastic impulsive reaction-diffusion neural networks with S-type distributed delays, aiming to obtain the sufficient conditions for global exponential stability. First, an impulsive inequality involving infinite delay is introduced and the asymptotic behaviour of its solution is investigated by the truncation method. Then, global exponential stability in the mean-square sense of the stochastic impulsive reaction-diffusion system is studied by constructing a simple Lyapunov-Krasovskii functional where the S-type distributed delay is handled by the impulsive inequality. Numerical examples are also given to verify the effectiveness of the proposed results. Finally, the obtained theoretical results are successfully applied to an image encryption scheme based on bit-level permutation and the stochastic neural networks.

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Source
https://linkinghub.elsevier.com/retrieve/pii/S08936080193009
Publisher Site
http://dx.doi.org/10.1016/j.neunet.2019.03.016DOI Listing
April 2019
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