{"title":"Fixed/preassigned-time synchronization of fuzzy inertial neural netwroks via event-triggered controller","authors":"Tianqi Wang, Junhao Hu, Yan Li, Guodong Zhang","doi":"10.1007/s12190-024-02136-x","DOIUrl":null,"url":null,"abstract":"<p>The article studies fixed/preassigned-time synchronization in a fuzzy inertial neural network characterized by discontinuous activation functions and mixed delays. First, we adopt a more accurate method to calculate the settling-time. Then, we extend the result of fixed-time synchronization (FXS) to preassigned-time synchronization (PAS). Next, by designing event-triggered controller and applying the non-smooth theory, the stability criterion of FXS/PAS are obtained. Finally, in the simulation section, we illustrate the validity and practicability of the results by listing a specific example.</p>","PeriodicalId":15034,"journal":{"name":"Journal of Applied Mathematics and Computing","volume":"42 1","pages":""},"PeriodicalIF":2.4000,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Mathematics and Computing","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s12190-024-02136-x","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
The article studies fixed/preassigned-time synchronization in a fuzzy inertial neural network characterized by discontinuous activation functions and mixed delays. First, we adopt a more accurate method to calculate the settling-time. Then, we extend the result of fixed-time synchronization (FXS) to preassigned-time synchronization (PAS). Next, by designing event-triggered controller and applying the non-smooth theory, the stability criterion of FXS/PAS are obtained. Finally, in the simulation section, we illustrate the validity and practicability of the results by listing a specific example.
期刊介绍:
JAMC is a broad based journal covering all branches of computational or applied mathematics with special encouragement to researchers in theoretical computer science and mathematical computing. Major areas, such as numerical analysis, discrete optimization, linear and nonlinear programming, theory of computation, control theory, theory of algorithms, computational logic, applied combinatorics, coding theory, cryptograhics, fuzzy theory with applications, differential equations with applications are all included. A large variety of scientific problems also necessarily involve Algebra, Analysis, Geometry, Probability and Statistics and so on. The journal welcomes research papers in all branches of mathematics which have some bearing on the application to scientific problems, including papers in the areas of Actuarial Science, Mathematical Biology, Mathematical Economics and Finance.