Event-Triggered Impulsive Controller Design for Synchronization of Delayed Chaotic Neural Networks and Its Fractal Reconstruction: An Application to Image Encryption

• Published in: Applied mathematical modelling Vol. 115; pp. 490 - 512
• Main Authors: Mohanrasu, S S, Udhayakumar, K, Priyanka, T M C, Gowrisankar, A, Banerjee, Santo, Rakkiyappan, R
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.03.2023
• Subjects: Chaotic neural networks; Fractal interpolation functions; Image encryption; Linear matrix inequalities; RSA public-key cryptosystems; Vertical scaling factors; Fractal interpolation functions; Image encryption; Linear matrix inequalities; RSA public-key cryptosystems; Chaotic neural networks; Vertical scaling factors
• ISSN: 0307-904X
• DOI: 10.1016/j.apm.2022.10.015

•The effect of synchronisation on the master-slave NNs with time delay is examined.•The NN’s chaotic attractor is reconstructed using the fractal interpolation.•Reconstructed chaotic sequence is applied in image encryption.•Image encryption is carried out using RSA algorithm.•Various statistical measures are used to verify the efficacy. This paper examines synchronization of delayed chaotic neural networks with impulsive control, event-triggered impulsive control, and event-triggered delayed impulsive control. Lyapunov-based event-triggered mechanism is constructed to derive few sufficient conditions in terms of Linear Matrix Inequalities (LMIs). The feedback and event-triggered gain matrices are evaluated with the help of numerical packages. The fractal interpolation functions are employed to reconstruct the chaotic sequence of the neural networks since the chaotic attractor has self-similar properties and coincides with the fractal functions. In this study, a linear fractal interpolation is used to reconstruct both the master-slave chaotic attractor and the encrypted chaotic attractor, with optimized scaling factors. Finally, an application of the image encryption algorithm is given in terms of RSA public-key cryptosystems, permutation, and finite field diffusion for the chaotic sequence generated by fractal interpolation functions.