{"title":"混合时滞随机中立型模糊惯性神经网络的定时镇定","authors":"Wenxiang Fang , Tao Xie , Quanxin Zhu , Tingwen Huang","doi":"10.1016/j.fss.2025.109566","DOIUrl":null,"url":null,"abstract":"<div><div>This paper investigates the fixed-time stabilization problem for a class of stochastic neutral-type fuzzy inertial neural networks subject to mixed delays and unbounded activation functions. Leveraging stochastic analysis and advanced inequality techniques, we establish several sufficient conditions guaranteeing fixed-time stability of the considered model under both feedback and adaptive control schemes. Crucially, these stability criteria are formulated independently of the upper bounds of the activation functions, significantly broadening their applicability to a wider range of systems with unbounded nonlinearities. Moreover, the corresponding settling times associated are analytically estimated. Numerical simulations are finally presented to validate the effectiveness of both proposed controllers.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"520 ","pages":"Article 109566"},"PeriodicalIF":2.7000,"publicationDate":"2025-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fixed time stabilization of stochastic neutral-type fuzzy inertial neural network with mixed delays\",\"authors\":\"Wenxiang Fang , Tao Xie , Quanxin Zhu , Tingwen Huang\",\"doi\":\"10.1016/j.fss.2025.109566\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This paper investigates the fixed-time stabilization problem for a class of stochastic neutral-type fuzzy inertial neural networks subject to mixed delays and unbounded activation functions. Leveraging stochastic analysis and advanced inequality techniques, we establish several sufficient conditions guaranteeing fixed-time stability of the considered model under both feedback and adaptive control schemes. Crucially, these stability criteria are formulated independently of the upper bounds of the activation functions, significantly broadening their applicability to a wider range of systems with unbounded nonlinearities. Moreover, the corresponding settling times associated are analytically estimated. Numerical simulations are finally presented to validate the effectiveness of both proposed controllers.</div></div>\",\"PeriodicalId\":55130,\"journal\":{\"name\":\"Fuzzy Sets and Systems\",\"volume\":\"520 \",\"pages\":\"Article 109566\"},\"PeriodicalIF\":2.7000,\"publicationDate\":\"2025-08-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fuzzy Sets and Systems\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0165011425003057\",\"RegionNum\":1,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"COMPUTER SCIENCE, THEORY & METHODS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fuzzy Sets and Systems","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0165011425003057","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","Score":null,"Total":0}
Fixed time stabilization of stochastic neutral-type fuzzy inertial neural network with mixed delays
This paper investigates the fixed-time stabilization problem for a class of stochastic neutral-type fuzzy inertial neural networks subject to mixed delays and unbounded activation functions. Leveraging stochastic analysis and advanced inequality techniques, we establish several sufficient conditions guaranteeing fixed-time stability of the considered model under both feedback and adaptive control schemes. Crucially, these stability criteria are formulated independently of the upper bounds of the activation functions, significantly broadening their applicability to a wider range of systems with unbounded nonlinearities. Moreover, the corresponding settling times associated are analytically estimated. Numerical simulations are finally presented to validate the effectiveness of both proposed controllers.
期刊介绍:
Since its launching in 1978, the journal Fuzzy Sets and Systems has been devoted to the international advancement of the theory and application of fuzzy sets and systems. The theory of fuzzy sets now encompasses a well organized corpus of basic notions including (and not restricted to) aggregation operations, a generalized theory of relations, specific measures of information content, a calculus of fuzzy numbers. Fuzzy sets are also the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling: fuzzy rule-based systems. Numerous works now combine fuzzy concepts with other scientific disciplines as well as modern technologies.
In mathematics fuzzy sets have triggered new research topics in connection with category theory, topology, algebra, analysis. Fuzzy sets are also part of a recent trend in the study of generalized measures and integrals, and are combined with statistical methods. Furthermore, fuzzy sets have strong logical underpinnings in the tradition of many-valued logics.