Projective synchronization of memristive multidirectional associative memory neural networks via self-triggered impulsive control and its application to image protection

Weiping Wang, Yue Sun, Manman Yuan, Zhen Wang, Jun Cheng, Denggui Fan, Jürgen Kurths, Xiong Luo and Chunyang Wang

Chaos, Solitons & Fractals, 2021, vol. 150, issue C

Abstract: This paper presents a new synchronization criterion with a hybrid control approach for multidirectional associative memory neural networks based on memristor (MMAMNNs). That is, the method of impulsive and feedback control combing with the (event) self-triggered mechanism is adopted. However some projective synchronization errors based on state related parameters of MMAMNNs will be affected by the diverse initial conditions. Thus, the new criterion is supported by establishing a novel Lyapunov function combined with the features of such diverse parameters and systems. A collaborative proposed method is designed to make the error of such system converging to zero. Then, the Zeno-behavior is testified to disappear from the proposed programs. Finally, some examples demonstrate the validity of the proposed method and to show its potential application in image protection.

Keywords: Projective synchronization; Self-triggered control; Image encryption; Multidirectional associative memory; Memristive neural networks (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921004641

DOI: 10.1016/j.chaos.2021.111110

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