{"title":"Novel Sufficient Conditions for Stabilization of Linear Positive Discrete-Time Systems Using Event-Triggered Control","authors":"Nguyen Huu Sau;Mai Viet Thuan","doi":"10.1109/LCSYS.2025.3531039","DOIUrl":null,"url":null,"abstract":"This letter investigates stabilizing discrete-time systems with delays using an event-triggered control (ETC) approach. Novel event-triggering conditions are proposed to ensure system positivity and stability thresholds. Sufficient conditions are derived to guarantee that the closed-loop system remains positive and exponentially stable, with criteria easily verifiable in MATLAB. We also address the nontriviality of the sequence of event instants to ensure the practical effectiveness of the proposed method. Two numerical examples are presented to illustrate the effectiveness of the proposed method.","PeriodicalId":37235,"journal":{"name":"IEEE Control Systems Letters","volume":"8 ","pages":"3345-3349"},"PeriodicalIF":2.4000,"publicationDate":"2025-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Control Systems Letters","FirstCategoryId":"1085","ListUrlMain":"https://ieeexplore.ieee.org/document/10844685/","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
This letter investigates stabilizing discrete-time systems with delays using an event-triggered control (ETC) approach. Novel event-triggering conditions are proposed to ensure system positivity and stability thresholds. Sufficient conditions are derived to guarantee that the closed-loop system remains positive and exponentially stable, with criteria easily verifiable in MATLAB. We also address the nontriviality of the sequence of event instants to ensure the practical effectiveness of the proposed method. Two numerical examples are presented to illustrate the effectiveness of the proposed method.