Quasi-projective synchronization of discrete-time fractional-order BAM neural networks with uncertain parameters and time-varying delays

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-29 DOI:10.1016/j.cnsns.2025.108873

Jianfei Liu , Hong-Li Li , Long Zhang , Haijun Jiang , Jinde Cao

引用次数: 0

Abstract

This paper focuses on the issue of quasi-projective synchronization (Q-PS) of discrete-time fractional-order BAM neural networks (DFBAMNNs) with uncertain parameters and time-varying delays. Initially, on account of categorical discussion, the monotonicity of a class of discrete Mittag-Leffler function is given and rigorously proved. Secondly, based on the monotonicity of Mittag-Leffler function obtained her ein and Caputo fractional difference theory, two Caputo fractional difference inequalities are rigidly demonstrated. Subsequently, based on the inequalities established in this paper and some inequality techniques, sufficient Q-PS conditions are provided for DFBAMNNs with time-varying delays and uncertain parameters under nonlinear feedback controllers. Finally, a numerical simulation example is supplied to reveal the rationality of the findings.

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具有不确定参数和时变时滞的离散分数阶BAM神经网络的拟投影同步

研究了具有不确定参数和时变时滞的离散分数阶BAM神经网络的拟投影同步问题。首先，通过范畴讨论，给出了一类离散Mittag-Leffler函数的单调性，并给出了严格证明。其次，基于她的ein和Caputo分数阶差分理论得到的mittagi - leffler函数的单调性，严格证明了两个Caputo分数阶差分不等式。随后，基于本文建立的不等式和一些不等式技术，给出了非线性反馈控制下具有时变时滞和参数不确定的dfbamnn的充分Q-PS条件。最后，通过数值模拟实例验证了研究结果的合理性。

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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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.