分数阶脉冲时滞Hopfield神经网络有限时间稳定性的新判据

IF 3.8 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-06-24 DOI:10.1016/j.cnsns.2025.109056

Wenbo Wang, Feifei Du

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引用次数: 0

摘要

时滞Gronwall不等式被广泛用于研究分数阶时滞神经网络的稳定性。然而，当应用这些不等式来研究分数阶脉冲时滞Hopfield神经网络（FITHNNs）的稳定性时，出现了实质性的挑战。本文研究了FITHNNs的有限时间稳定性。首先，建立了一个新的分数阶脉冲时滞Gronwall不等式，扩展了已有的不受脉冲影响的结果，降低了计算复杂度；其次，利用该不等式得到了fithnn的FTS判据。最后，通过数值算例和仿真验证了该准则的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A novel criterion on finite-time stability of fractional-order impulsive time-delay Hopfield neural networks

Time-delay Gronwall inequalities have been extensively utilized to explore the stability of fractional-order time-delay neural networks. However, substantial challenges emerge when applying these inequalities to investigate the stability of fractional-order impulsive time-delay Hopfield neural networks (FITHNNs). The finite-time stability (FTS) of FITHNNs is investigated in this paper. First, a novel fractional-order impulsive time-delay Gronwall inequality is established, which extends existing results without impulsive effects and reduces computational complexity. Next, an FTS criterion of FITHNNs is obtained using this inequality. Ultimately, some numerical examples and their simulations are exhibited to validate the efficiency of the obtained criterion.

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来源期刊

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.