反馈和自适应控制下具有分布式延迟的随机高木-菅野模糊循环神经网络的固定时间同步化

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-06-11 DOI:10.3390/axioms13060391

Yiran Niu, Xiaofeng Xu, Ming Liu

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引用次数: 0

摘要

本文基于高木-菅野（TS）模型，建立了具有分布式延迟的随机高木-菅野模糊循环神经网络（STSFRNNS），并研究了固定时间同步问题。为了使网络同步，我们设计了两种控制器：反馈控制器和自适应控制器。然后，我们结合李亚普诺夫方法和随机微分方程的相关不等式理论，得到了固定时间内的同步准则，并计算出了 STSFRNNS 的稳定时间。此外，为了验证理论结果的真实性，我们使用 MATLABR2023A 进行了数值仿真。

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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Fixed Time Synchronization of Stochastic Takagi–Sugeno Fuzzy Recurrent Neural Networks with Distributed Delay under Feedback and Adaptive Controls

In this paper, the stochastic Takagi–Sugeno fuzzy recurrent neural networks (STSFRNNS) with distributed delay is established based on the Takagi–Sugeno (TS) model and the fixed time synchronization problem is investigated. In order to synchronize the networks, we design two kinds of controllers: a feedback controller and an adaptive controller. Then, we obtain the synchronization criteria in a fixed time by combining the Lyapunov method and the related inequality theory of the stochastic differential equation and calculate the stabilization time for the STSFRNNS. In addition, to verify the authenticity of the theoretical results, we use MATLABR2023A to carry out numerical simulation.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.