Unified analysis on multistablity of fraction-order multidimensional-valued memristive neural networks.

Autor: Wang J; School of Mathematics, China University of Mining and Technology, Xuzhou, 221116, China. Electronic address: karsuiwang@gmail.com., Zhu S; School of Mathematics, China University of Mining and Technology, Xuzhou, 221116, China. Electronic address: songzhu@cumt.edu.cn., Mu C; School of Electrical and Automation Engineering, Tianjin University, Tianjin, 300072, China. Electronic address: cxmu@tju.edu.cn., Liu X; School of Computer Science and Technology, Jiangsu Normal University, Xuzhou, 221116, China. Electronic address: liuxiaoyang1979@gmail.com., Wen S; Centre for Artificial Intelligence, University of Technology Sydney, Ultimo, NSW 2007, Australia. Electronic address: Shiping.Wen@uts.edu.au.
Jazyk: angličtina
Zdroj: Neural networks : the official journal of the International Neural Network Society [Neural Netw] 2024 Nov; Vol. 179, pp. 106498. Date of Electronic Publication: 2024 Jun 28.
DOI: 10.1016/j.neunet.2024.106498
Abstrakt: This article provides a unified analysis of the multistability of fraction-order multidimensional-valued memristive neural networks (FOMVMNNs) with unbounded time-varying delays. Firstly, based on the knowledge of fractional differentiation and memristors, a unified model is established. This model is a unified form of real-valued, complex-valued, and quaternion-valued systems. Then, based on a unified method, the number of equilibrium points for FOMVMNNs is discussed. The sufficient conditions for determining the number of equilibrium points have been obtained. By using 1-norm to construct Lyapunov functions, the unified criteria for multistability of FOMVMNNs are obtained, these criteria are less conservative and easier to verify. Moreover, the attraction basins of the stable equilibrium points are estimated. Finally, two numerical simulation examples are provided to verify the correctness of the results.
Competing Interests: Declaration of competing interest The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
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Databáze: MEDLINE
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