具有分布式延迟的二阶神经网络基于事件触发的固定/预分配时间同步控制

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-24 DOI:10.1016/j.cnsns.2024.108301

Guodong Zhang , Rajan Rakkiyappan , Leimin Wang

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引用次数: 0

摘要

本文讨论了一种具有可变系数和分布式延迟的二阶神经网络。首先，分别构建了关于此类系统固定/预分配时间同步的新定理。然后，根据这些定理给出了一些新标准，以获得此类延迟系统的固定/预分配时间同步。与以往研究中使用的反馈控制器不同，本文分别提出了两种有效的事件触发控制器来研究二阶神经网络。此外，本文还将事件触发控制与非还原阶方式结合使用，首次实现了此类延迟系统的固定/预分配时间同步，从控制效率和准则简洁性两方面都具有优势。最后，通过两个实例说明了所提标准的有效性。

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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Event-triggered-based fixed/preassigned-time synchronization control of second-order neural networks with distributed delays

In this article, a kind of second-order neural networks with variable coefficients and distributed delays are discussed. At first, new lemmas about fixed/preassigned-time synchronization for such system are respectively constructed. Then, some novel criteria are given to get fixed/preassigned-time synchronization for such delayed system based on the these lemmas. Unlike feedback controllers are used in previous works, two effective event-triggered controllers are, respectively, proposed here to investigate the second-order neural networks. In addition, event-triggered control and non-reduced order way are combined use to realize fixed/preassigned-time synchronization for such delayed system at the first time, which has advantages from both efficiency of control and brevity of criterion. Finally, two examples are presented to show validity of the proposed criteria.

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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.