Event-Triggered Synchronization of Coupled Neural Networks with Reaction–Diffusion Terms

Abulajiang Aili (), Shenglong Chen and Sibao Zhang
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Abulajiang Aili: School of Mathematics and Statistics, Kashi University, Kashi 844006, China
Shenglong Chen: College of Mathematics and System Science, Xinjiang University, Urumqi 830017, China
Sibao Zhang: School of Mathematics and Statistics, Kashi University, Kashi 844006, China

Mathematics, 2024, vol. 12, issue 9, 1-16

Abstract: This paper focuses on the event-triggered synchronization of coupled neural networks with reaction–diffusion terms. At first, an effective event-triggered controller was designed based on time sampling. It is worth noting that the data of the controller for this type can be updated only when corresponding triggering conditions are satisfied, which can significantly reduce the communication burden of the control systems compared to other control strategies. Furthermore, some sufficient criteria were obtained to ensure the event-triggered synchronization of the considered systems through the use of an inequality techniques as well as the designed controller. Finally, the validity of the theoretical results was confirmed using numerical examples.

Keywords: synchronization; coupled neural networks; event-triggered control; reaction–diffusion terms (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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