| Abstract: |
| This paper addresses the problem of synchronizing fuzzy reaction-diffusion neural networks (FRDNNs) with time-varying transmission delays using aperiodic semi-intermittent hybrid controls and its application in image encryption. The main challenge in analyzing the dynamics of FRDNNs included diffusion terms with uncertainty, and the inclusion of fuzzy logic operations further increases the system`s complexity. We propose a new concept called the average control width (ACW) for aperiodic semi-intermittent control (ASIC) systems; it is used in conjunction with the idea of average dwell time (ADT) for switched systems. A sufficient flexible condition for drive-response synchronization of neural networks using average-width semi-intermittent hybrid control assures ADT and ACW conditions. By utilizing these concepts, the proposed synchronization method can overcome the challenges posed by the diffusion terms and fuzzy logic operations in FRDNNs with time-varying transmission delays. Finally, the paper presents a theoretical framework for synchronizing FRDNNs with time-varying transmission delays using semi-intermittent hybrid control via LMI and suitable Lyapunov functional, validated through simulations. The proposed synchronization method is also applied to develop a novel chaos-based elliptic curve cryptography algorithm for medical image encryption. |
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