Global exponential stability for quaternion-valued neural networks with time-varying delays by matrix measure method

In this paper, the global exponential stability of quaternion-valued neural networks with time-varying delays is discussed. On the basis of the matrix measure method and Halanay inequality, some sufficient criteria of exponential stability for quaternion-valued neural with delays are given. Differen...

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Bibliographic Details
Published in:Computational & applied mathematics 2025-02, Vol.44 (1)
Main Authors: Chen, Yifeng, Shi, Yanchao, Guo, Jun, Cai, Jingling
Format: Article
Language:English
Subjects:
Applications of Mathematics
Computational Mathematics and Numerical Analysis
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematics
Mathematics and Statistics
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Summary:In this paper, the global exponential stability of quaternion-valued neural networks with time-varying delays is discussed. On the basis of the matrix measure method and Halanay inequality, some sufficient criteria of exponential stability for quaternion-valued neural with delays are given. Different from the existing methods, the criteria of global exponential stability are obtained without constructing Lyapunov function. Moreover, the activation function is no longer assumed to be differentiable, which makes the analysis much easier. Finally, the numerical simulations are used to prove the validity of the main results.
ISSN:2238-3603
1807-0302
DOI:10.1007/s40314-024-03021-w