基于非周期间歇控制的具有拮抗作用的分布式多层神经网络的指数二部同步

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-12 DOI:10.1016/j.cnsns.2025.108820

Dongsheng Yang , Hu Wang , Guojian Ren , Yongguang Yu , Xiao-Li Zhang

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引用次数: 0

摘要

本文研究了非周期间歇控制下具有拮抗作用的分布式多层神经网络的指数双部同步问题。首先，将节点的分布阶动力学与符号图理论相结合，建立了具有结构平衡节点的多层神经网络的动力学模型。其次，设计了一种非周期间歇控制器，首次应用于分布式阶耦合系统的同步目标的实现。在此基础上，利用Lyapunov方法和非周期间歇控制器，导出了具有拮抗作用的分布式多层神经网络的指数二部同步的充分准则。最后，通过仿真验证了理论结果。

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Exponential bipartite synchronization of distributed-order multilayer neural networks with antagonistic interactions via aperiodic intermittent control

This study examines the exponential bipartite synchronization issue of distributed-order multilayer neural networks with antagonistic interactions by aperiodic intermittent control. First of all, the dynamical model of multilayer neural networks with structurally balanced nodes is established by integrating the distributed-order dynamics of nodes and signed graph theory. Secondly, an aperiodic intermittent controller is designed, which is applied for the first time to realize the synchronization objective of distributed-order coupled system. Furthermore, utilizing Lyapunov methods and aperiodic intermittent controller, sufficient criteria are derived to ensure exponential bipartite synchronization for distributed-order multilayer neural networks with antagonistic interactions. Finally, two simulations are presented to verify the theoretical result.

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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.