Fixed-time synchronization of nonlinear coupling MNNs with time delay via aperiodically intermittent sliding mode control

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-06-11 DOI:10.1016/j.cnsns.2025.108995

Qunsheng Zhang, Jianqiang Hu, Jinde Cao

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Abstract

This paper delves into the fixed-time synchronization (FxTS) issue for nonlinear coupling memristive neural networks (MNNs) through aperiodically intermittent sliding mode control (SMC), with a particular focus on the fixed-time external synchronization of two nonlinearly coupling systems that incorporate time delays. Differential inequalities, crafted to apply aperiodically intermittent SMC, couple with fixed-time stability theory and custom Lyapunov functions to yield sufficient conditions for MNNs’ FxTS. This establishes that the sliding mode manifold can be reached in the fixed-time, underpinning a control strategy that ensures MNNs’ dynamics converge to a specified manifold within the settling time (TST), defining a lower limit for convergence time. Unlike prevailing literature, this research introduces the utilization of aperiodically intermittent adjustment feedback control in tandem with SMC to guide MNNs towards FxTS. In conclusion, two demonstrative examples are provided to showcase the efficacy of the proposed algorithm.

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基于非周期间歇滑模控制的时滞非线性耦合mnn的定时同步

本文通过非周期间歇滑模控制（SMC）研究了非线性耦合记忆神经网络（MNNs）的固定时间同步问题，重点研究了两个包含时滞的非线性耦合系统的固定时间外部同步问题。微分不等式，精心设计应用非周期性间歇SMC，与固定时间稳定性理论和自定义Lyapunov函数相结合，以产生MNNs的FxTS的充分条件。这表明滑模流形可以在固定时间内达到，从而支持一种控制策略，确保mnn的动态在稳定时间（TST）内收敛到指定的流形，并定义收敛时间的下限。与主流文献不同，本研究引入了利用非周期性间歇调整反馈控制与SMC串联来引导MNNs走向FxTS。最后，给出了两个示例来展示所提出算法的有效性。

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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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.