Prescribed-time event-triggered pinning synchronization of neural networks

IF 3.8 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2027-01-01 Epub Date: 2026-10-15 DOI:10.1016/j.cnsns.2026.110948

Yongwei Yang, Chengye Zou, Zhiqiang Lv, Hao Zhang

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引用次数: 0

Abstract

This paper addresses prescribed-time event-triggered pinning synchronization of complex memristive neural networks via an integrated framework with prescribed-time control, event triggering, pinning, and saturation compensation. In contrast to finite/predefined-time methods, a superlinear gain renders synchronization time user-assigned and initial-condition-independent. A relative-error triggering rule with a guaranteed minimum inter-event interval reduces communication overhead, and the absence of Zeno behavior is rigorously guaranteed, overcoming a common limitation of existing event-triggered designs. Saturation compensation ensures stability under bounded inputs. Lyapunov-based sufficient conditions guarantee prescribed-time synchronization and Zeno-free operation. Simulations on a chaotic memristive Hopfield network confirm accurate synchronization within the preset time, reduced overhead, and robustness under actuator constraints.

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规定时间事件触发的神经网络固定同步

本文通过一个具有规定时间控制、事件触发、固定和饱和补偿的集成框架来解决复杂记忆神经网络的规定时间事件触发固定同步问题。与有限/预定义时间方法相比，超线性增益使同步时间与用户分配和初始条件无关。具有保证最小事件间间隔的相对错误触发规则减少了通信开销，并且严格保证不存在Zeno行为，克服了现有事件触发设计的常见限制。饱和补偿保证了有界输入下的稳定性。基于lyapunov的充分条件保证了规定时间的同步和无芝诺操作。在混沌记忆Hopfield网络上的仿真验证了在预设时间内的精确同步，减少了开销，并且在执行器约束下具有鲁棒性。

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.