Predefined-time modified function projective synchronization of memristor-based multidirectional associative memory neural networks with time-varying delay

IF 2.7 3区数学 Q1 MATHEMATICS, APPLIED

Physica D: Nonlinear Phenomena Pub Date : 2024-11-22 DOI:10.1016/j.physd.2024.134437

Hui Zhao , Aidi Liu , Lei Zhou , Sijie Niu , Xizhan Gao , Mingwen Zheng , Xin Li , Lixiang Li

引用次数: 0

Abstract

This paper is concerned with the predefined-time modified function projective synchronization problem of memristor-based multidirectional associative memory neural networks (MMAMNNs) with time-varying delay. Firstly, a new predefined-time stability theorem is proposed, which imposes more relaxed and effective conditions on the Lyapunov-Krasovskii function (LKF). Secondly, by designing a new feedback control strategy, sufficient conditions for ensuring the predefined-time modified function projection synchronization between master and slave systems are obtained. In addition, by changing the projection factor, the results of this paper can be flexibly extended to various synchronization types, such as complete synchronization, anti-synchronization, and proportional synchronization. Finally, the correctness of the theory is verified through numerical simulations.

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基于忆阻器的时变延迟多向联想记忆神经网络的预定义时间修正函数投影同步

研究了具有时变延迟的基于记忆阻器的多向联想记忆神经网络（MMAMNNs）的预定义时间修正函数投影同步问题。首先，提出了一个新的预定义时间稳定性定理，该定理对Lyapunov-Krasovskii函数（LKF）施加了更为宽松和有效的条件。其次，通过设计一种新的反馈控制策略，得到了保证主从系统同步的充分条件。此外，通过改变投影因子，本文的结果可以灵活地扩展到各种同步类型，如完全同步、反同步和比例同步。最后，通过数值仿真验证了理论的正确性。

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

Physica D: Nonlinear Phenomena 物理-物理：数学物理

CiteScore

7.30

自引率

7.50%

发文量

213

审稿时长

65 days

期刊介绍： Physica D (Nonlinear Phenomena) publishes research and review articles reporting on experimental and theoretical works, techniques and ideas that advance the understanding of nonlinear phenomena. Topics encompass wave motion in physical, chemical and biological systems; physical or biological phenomena governed by nonlinear field equations, including hydrodynamics and turbulence; pattern formation and cooperative phenomena; instability, bifurcations, chaos, and space-time disorder; integrable/Hamiltonian systems; asymptotic analysis and, more generally, mathematical methods for nonlinear systems.