基于新对数函数的模糊神经网络的预定义时间聚类输出同步

IF 4.2 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-09-18 DOI:10.1016/j.jfranklin.2025.108065

Peng Liu , Ting Liu , Junwei Sun , Yanfeng Wang

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引用次数: 0

摘要

研究了具有状态耦合的模糊神经网络的预定义时间簇输出同步问题。为实现预定义时间集群输出同步，不同于现有工作中依赖状态的符号函数和依赖时间的幂函数或指数函数，采用基于对数函数的标度函数设计了一种有效的控制器。此外，基于通信拓扑中存在强连通性或生成树的假设，建立了足够的准则来保证模糊神经网络实现预定义时间的聚类输出同步。与已有结果相比，本文将集群同步约束从强连接拓扑扩展到包含生成树的场景。最后，通过数值算例验证了所得结果。

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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Predefined-time cluster output synchronization of fuzzy neural networks with a new logarithmic function

This paper addresses the predefined-time cluster output synchronization of fuzzy neural networks with state coupling. To achieve the predefined-time cluster output synchronization, an effective controller is developed by a new scaling function based on the logarithmic function, which is different from state-dependent sign function and time-dependent power functions or exponential functions in existing works. Moreover, based on the assumptions of the existence of strong connectivity or spanning trees within the communication topology, sufficient criteria are established for ensuring to achieve the predefined-time cluster output synchronization of fuzzy neural networks. In contrast to existing results, this paper extends the cluster synchronization constraints from strongly connected topologies to scenarios involving spanning trees. Finally, numerical examples are delivered to validate the obtained results.

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来源期刊

Journal of The Franklin Institute-engineering and Applied Mathematics 工程技术-工程：电子与电气

CiteScore

7.30

自引率

14.60%

发文量

586

审稿时长

6.9 months

期刊介绍： The Journal of The Franklin Institute has an established reputation for publishing high-quality papers in the field of engineering and applied mathematics. Its current focus is on control systems, complex networks and dynamic systems, signal processing and communications and their applications. All submitted papers are peer-reviewed. The Journal will publish original research papers and research review papers of substance. Papers and special focus issues are judged upon possible lasting value, which has been and continues to be the strength of the Journal of The Franklin Institute.