Fixed-time synchronization of Clifford-valued neural networks with D operator via aperiodic semi-intermittent control

As Clifford-valued neural networks (CVNNs) are more versatile than real-valued, complex-valued, or quaternion-valued neural networks; it is important to study their dynamical characteristics. In this paper, the fixed-time synchronization (FTS) problem for a class of delayed CVNNs with D operator via aperiodic semi-intermittent control is studied. The proposed models are first deconstructed real-valued models since Clifford numbers cannot be multiplied commutatively. To achieve the FTS result, a new controller with aperiodic and semi-intermittent characteristics is developed. The inequality technique and analytic method are utilized to identify many essential requirements in the innovative study, which contribute to the establishment of the FTS for the systems under consideration. Specifically, the settling time is accurately forecasted and is unaffected by the initial value. To validate the correctness of the obtained results, a numerical example is shown in the interim.

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Publication Details

Journal
Advances in Continuous and Discrete Models
Published
2025-02-13
DOI
https://doi.org/10.1186/s13662-025-03911-1
Citations
3
Primary Topic
Neural Networks and Applications
Type
article
Field-Weighted Citation Impact
7.44

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article

Fixed-time synchronization of Clifford-valued neural networks with D operator via aperiodic semi-intermittent control

Qianqian Zheng, Xuechen Li, Pan Wang
3 citations
Advances in Continuous and Discrete Models
Neural Networks and Applications
7.44
article

Fixed-time synchronization of Clifford-valued neural networks with D operator via aperiodic semi-intermittent control

Qianqian Zheng, Xuechen Li, Pan Wang
article en
3 citations

Abstract

As Clifford-valued neural networks (CVNNs) are more versatile than real-valued, complex-valued, or quaternion-valued neural networks; it is important to study their dynamical characteristics. In this paper, the fixed-time synchronization (FTS) problem for a class of delayed CVNNs with D operator via aperiodic semi-intermittent control is studied. The proposed models are first deconstructed real-valued models since Clifford numbers cannot be multiplied commutatively. To achieve the FTS result, a new controller with aperiodic and semi-intermittent characteristics is developed. The inequality technique and analytic method are utilized to identify many essential requirements in the innovative study, which contribute to the establishment of the FTS for the systems under consideration. Specifically, the settling time is accurately forecasted and is unaffected by the initial value. To validate the correctness of the obtained results, a numerical example is shown in the interim.

Advances in Continuous and Discrete ModelsVol. 2025(1)
Shanghai Institute for Science of Science (CN), Xuchang University (CN)
Henan University, Natural Science Foundation of Henan Province, Xuchang University
Openalex Percentile: Top 4%
Neural Networks and Applications
7.44
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Fixed-time synchronization of Clifford-valued neural networks with D operator via aperiodic semi-intermittent control — Qianqian Zheng, Xuechen Li, et al. · Advances in Continuous and Discrete Models (2025) | TGRS Research Map | TGRS