具有区间延迟的连续记忆神经网络的拟稳定性判据

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-22 DOI:10.1016/j.cnsns.2025.108857

Youming Xin , Jiaheng Zhang , Zunshui Cheng , Jinde Cao

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引用次数: 0

摘要

基于忆阻器的连续模型，在磁通-电压-时间域描述了具有区间延迟的忆阻神经网络。将忆阻器作为不确定参数，将系统简化为具有参数不确定性的神经网络。然后，首次提出了区间时滞记忆神经网络的非零拟平衡点和拟稳定性，为研究解的有界性提供了一种新的途径。分别用多主题不确定性方法和范数有界不确定性方法导出了拟稳定性判据。最后给出了一个算例，说明了所提定理的有效性。

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Quasi-stability criteria for continuous memristive neural networks with interval delays

Based on a continuous model of memristors, memristive neural networks with interval delays are described in the flux-voltage-time domain. Considering memristors as uncertain parameters, the systems are reduced to neural networks with parameter uncertainties. Then, nonzero quasi-equilibrium points and the quasi-stability are first proposed for memristive neural networks with interval delays, which provide a new approach to study the boundedness of solutions. Quasi-stability criteria are derived by poly-topic uncertainty method and norm-bounded uncertainty method, respectively. Finally, an example is given to show the effectiveness of our theorems.

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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.