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Artificial neural networks

Global Polynomial Pinning Synchronization of Coupled Reaction-diffusion Inertial Neural Networks via Dual Event Triggered Markov-switched Control

Strategic Insights

— 1 min read

Researchers at Nazarbayev University have made a significant breakthrough in the field of information and data encoding and encryption. The team, led by Dr. Ardak Kashkynbayev, has developed a novel method for achieving global polynomial pinning synchronization (GPPS) in coupled reaction-diffusion inertial neural networks (CRDINNs) with proportional delays. This method, called dual event triggered Markov-switched control (DETMC), addresses the challenges of derivation process issues and improves control efficiency. The research has been peer-reviewed and published in the journal Communications In Nonlinear Science and Numerical Simulation.

Key Takeaways:

  • The researchers have developed a novel Halanay inequality involving proportional delays to investigate the polynomial stability of CRDINNs under DETMC.
  • The proposed pathway for achieving GPPS in systems like CRDINNs through DETMC is validated with easily verifiable linear matrix inequalities (LMIs) in MATLAB.
  • The integration of chaotic sequences from CRDINNs with permutation-diffusion schemes via DETMC leads to the development of a new image encryption algorithm.
  • The new image encryption algorithm is rigorously evaluated using various statistical metrics.
  • The researchers have shown that the proposed method significantly improves control efficiency and addresses derivation process issues.

Statistics:

  • The research has been funded by the Science Committee of the Ministry of Science & Higher Education of the Republic of Kazakhstan and the Nazarbayev University under Faculty-development competitive research grants program for 2024-2026.
  • The research has been peer-reviewed and published in the journal Communications In Nonlinear Science and Numerical Simulation.
  • The proposed method has been validated with easily verifiable linear matrix inequalities (LMIs) in MATLAB.
  • The integration of chaotic sequences from CRDINNNs with permutation-diffusion schemes via DETMC leads to the development of a new image encryption algorithm.

Sources:

  • Global Polynomial Pinning Synchronization of Coupled Reaction-diffusion Inertial Neural Networks Via Dual Event Triggered Markov-switched Control Under Multiple Cyber Attacks. Communications In Nonlinear Science and Numerical Simulation, 2025;150.
  • Elsevier, Radarweg 29, 1043 Nx Amsterdam, Netherlands. (Elsevier - www.elsevier.com; Communications In Nonlinear Science and Numerical Simulation - www.journals.elsevier.com/communications-in-nonlinear-science-and-numerical-simulation/)
  • Ardak Kashkynbayev, Nazarbayev University, School of Sciences and Humanities, Dept. of Mathematics, Astana 010000, Kazakhstan.

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