Analysis of Stability of Delayed Quaternion-Valued Switching Neural Networks via Symmetric Matrices Article Swipe

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Yuandan Dong , Tao Peng , Zhengwen Tu , Huiling Duan , Wei Tan ·

YOU? · · 2025 · Open Access · · DOI: https://doi.org/10.3390/sym17070979

The stability of a class of quaternion-valued switching neural networks (QVSNNs) with time-varying delays is investigated in this paper. Limited prior research exists on the stability analysis of quaternion-valued neural networks (QVNNs). This paper addresses the stability analysis of quaternion-valued neural networks (QVNNs). With the help of some symmetric matrices with excellent properties, the stability analysis method in this paper is undecomposed. The QVSNN discussed herein evolves with average dwell time. Based on the Lyapunov theoretical framework and Wirtinger-based inequality, QVSNNs under any switching law have global asymptotic stability (GAS) and global exponential stability (GES). The state decay estimation of the system is also given and proved. Finally, the effective and practical applicability of the proposed method is demonstrated by two comprehensive numerical calculations.

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Quaternion Exponential stability Dwell time Artificial neural network Control theory (sociology) Stability (learning theory) Lyapunov function Mathematics Lyapunov stability State (computer science) Applied mathematics Computer science Algorithm Artificial intelligence Physics Control (management) Geometry Medicine Machine learning Clinical psychology Nonlinear system Quantum mechanics

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Type: article
Language: en
Landing Page: https://doi.org/10.3390/sym17070979
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References: 45
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DOI: https://doi.org/10.3390/sym17070979

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Title: Analysis of Stability of Delayed Quaternion-Valued Switching Neural Networks via Symmetric Matrices

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Publication year: 2025

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Authors: Yuandan Dong, Tao Peng, Zhengwen Tu, Huiling Duan, Wei Tan

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Landing page: https://doi.org/10.3390/sym17070979

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Concepts: Quaternion, Exponential stability, Dwell time, Artificial neural network, Control theory (sociology), Stability (learning theory), Lyapunov function, Mathematics, Lyapunov stability, State (computer science), Applied mathematics, Computer science, Algorithm, Artificial intelligence, Physics, Control (management), Geometry, Medicine, Machine learning, Clinical psychology, Nonlinear system, Quantum mechanics

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