Global polynomial pinning synchronization of coupled reaction–diffusion inertial neural networks via dual event triggered Markov-switched control under multiple cyber attacks
KathiresanKathiresan S. Rajan R. Cao J. Kashkynbayev A.
November 2025Elsevier B.V.
Communications in Nonlinear Science and Numerical Simulation
2025#150
This paper investigates global polynomial pinning synchronization (GPPS) in coupled reaction–diffusion inertial neural networks (CRDINNs) with proportional delays (PD). Precisely, the addressed network model comprises multiple cyber attacks, which entail both deception attacks (DA) and denial-of-service (DoS) attacks, with an application to multi-image encryption using space-filling curves (SFC). A novel Halanay inequality involving proportional delays is established to investigate the polynomial stability of CRDINNs under a novel dual event triggered Markov-switched control (DETMC), which selects appropriate neurons as pinning nodes and applies feedback input. This method addresses derivation process issues and significantly improves control efficiency. Additionally, a novel Lyapunov function (LF) is constructed to capture system state information and manage challenges from reaction–diffusion terms, with sufficient conditions for synchronization derived through inequality techniques. The proposed pathway for achieving GPPS in systems like CRDINNs through DETMC is validated with easily verifiable linear matrix inequalities (LMIs) in MATLAB, demonstrating synchronization criteria through numerical examples under DoS and DA. Furthermore, enhanced security in image encryption schemes is achieved using efficient scrambling techniques, combining enhanced Zig zag and Raster pattern scrambling with diffusion methods. The integration of chaotic sequences from CRDINNs with permutation-diffusion schemes via DETMC leads to the development of a new image encryption algorithm, which is rigorously evaluated using various statistical metrics.
Dual event triggered Markov-switched control , Image encryption , Multiple cyber attacks , Reaction diffusion inertial neural networks , Synchronization
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Department of Mathematics, School of Sciences and Humanities, Nazarbayev University, Astana, 010000, Kazakhstan
Department of Mathematics, Bharathiar University, Tamil Nadu, Coimbatore, 641046, India
School of Mathematics, Southeast University, Jiangsu, Nanjing, 211189, China
Department of Mathematics
Department of Mathematics
School of Mathematics
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