{"title":"Finite-time security E2P filter design of fuzzy discrete-time singular system","authors":"Xin-Yue Zhao , Qingkai Kong , Jianping Zhou","doi":"10.1016/j.amc.2025.129741","DOIUrl":null,"url":null,"abstract":"<div><div>Nowadays, privacy protection avoids the disclosure of signals during transmission. This article studies the privacy protection of fuzzy singular systems. Initially, the nonlinear discrete-time singular system is represented using the Takagi-Sugeno (T-S) fuzzy modeling approach. Then, through the output mask technology, the eavesdropper is confused to obtain information. Meanwhile, the load problem of the signal passing through the channel is considered, the signal quantization is considered, and the channel fading problem is considered. On this basis, the stability conditions of the system are given, and a singular filter that satisfies the finite-time Energy-to-Peak (E2P) performance is designed. Ultimately, the proposed method’s effectiveness is substantiated.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"511 ","pages":"Article 129741"},"PeriodicalIF":3.4000,"publicationDate":"2025-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics and Computation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0096300325004667","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
Nowadays, privacy protection avoids the disclosure of signals during transmission. This article studies the privacy protection of fuzzy singular systems. Initially, the nonlinear discrete-time singular system is represented using the Takagi-Sugeno (T-S) fuzzy modeling approach. Then, through the output mask technology, the eavesdropper is confused to obtain information. Meanwhile, the load problem of the signal passing through the channel is considered, the signal quantization is considered, and the channel fading problem is considered. On this basis, the stability conditions of the system are given, and a singular filter that satisfies the finite-time Energy-to-Peak (E2P) performance is designed. Ultimately, the proposed method’s effectiveness is substantiated.
期刊介绍:
Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results.
In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.