Exponential synchronisation for delayed Clifford-valued coupled switched neural networks via static event-triggering rule

Shuangyun Xing, Hao Luan and Feiqi Deng

International Journal of Systems Science, 2024, vol. 55, issue 6, 1114-1126

Abstract: In the paper, the exponential synchronisation for delayed Clifford-valued coupled switched neural networks via static event-triggering rule is studied. Firstly, the drive-response systems for delayed Clifford-valued coupled neural network models are established. So as to avoid the non-commutativity issue of Clifford number multiplication, the original n-dimensional Clifford-valued models are decomposed into $ 2 ^mn $ 2mn-dimensional real-valued models. On this basis, the error dynamics system is constructed, and then some new sufficient conditions are presented of the exponential synchronisation for the considered neural network models by using Lyapunov–Krasovskii (L-K) functional approach and the technique of linear matrix inequality. Finally, the effectiveness of the results are verified by numerical simulations.

Date: 2024
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DOI: 10.1080/00207721.2023.2301498

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