Preassigned-Time Projective Lag Synchronization of Octonion-Valued BAM Neural Networks via Exponential Quantized Event-Triggered Control

Xuejiao Qin (), Xinman Li, Lianyang Hu, Cheng Hu and Haijun Jiang
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Xuejiao Qin: School of Biomedical Engineering, Xinjiang Second Medical College, Karamay 834000, China
Xinman Li: School of Big Data and Artificial Intelligence, Chengdu Technological University, Chengdu 611730, China
Lianyang Hu: College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China
Cheng Hu: College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China
Haijun Jiang: College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China

Mathematics, 2025, vol. 13, issue 22, 1-38

Abstract: This study addresses the preassigned-time (PDT) projective lag synchronization of octonion-valued BAM neural networks (OV-BAMNNs) through exponential quantized event-triggered control (ETC). First, an OV-BAMNN model incorporating discontinuous activation functions and time-varying delays is established. Subsequently, by introducing the octonion-valued sign function, several exponential quantized ETC schemes are designed, which employ solely a single exponential term while eliminating traditional linear and power-law components. Compared with conventional ETC designs, the proposed control schemes are simpler in form. Furthermore, within the framework of the non-separation method, several criteria for PDT projective lag synchronization are derived based on the Lyapunov method and Taylor expansion, proving that Zeno behavior is excluded. Finally, two simulation examples are given to verify the correctness of the theoretical results and to apply these results to image encryption.

Keywords: preassigned-time projective lag synchronization; octonion-valued BAM neural networks; exponential quantized event-triggered control; non-separation method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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