{"title":"Practical prescribed/prescribed time stabilization via event-triggered impulsive control with actuation delays","authors":"Arnab Mapui, Santwana Mukhopadhyay","doi":"10.1016/j.sysconle.2025.106149","DOIUrl":null,"url":null,"abstract":"<div><div>The present work investigates the problem of practical prescribed / prescribed-time stabilization of nonlinear systems by virtue of event-triggered impulsive control with actuation delays. Two event-triggering mechanisms <span><math><mfenced><mrow><mi>E</mi><mi>T</mi><mi>M</mi></mrow></mfenced></math></span> based on continuous event detection are put forward in this context. In both cases, impulse control inputs are updated after a specific time, known as actuation delays, to the event-triggering instants. Lyapunov-like sufficient conditions are proposed to achieve practical prescribed/prescribed-time stability of impulse-controlled systems with actuation delays corresponding to the designed first and second <span><math><mrow><mi>E</mi><mi>T</mi><mi>M</mi></mrow></math></span>, respectively. Moreover, both of the proposed <span><math><mrow><mi>E</mi><mi>T</mi><mi>M</mi></mrow></math></span> is free from Zeno behavior. Furthermore, two examples are considered and corresponding numerical simulations are performed to convey and validate the efficacy of the proposed theoretical results.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"204 ","pages":"Article 106149"},"PeriodicalIF":2.5000,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Systems & Control Letters","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167691125001318","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
The present work investigates the problem of practical prescribed / prescribed-time stabilization of nonlinear systems by virtue of event-triggered impulsive control with actuation delays. Two event-triggering mechanisms based on continuous event detection are put forward in this context. In both cases, impulse control inputs are updated after a specific time, known as actuation delays, to the event-triggering instants. Lyapunov-like sufficient conditions are proposed to achieve practical prescribed/prescribed-time stability of impulse-controlled systems with actuation delays corresponding to the designed first and second , respectively. Moreover, both of the proposed is free from Zeno behavior. Furthermore, two examples are considered and corresponding numerical simulations are performed to convey and validate the efficacy of the proposed theoretical results.
期刊介绍:
Founded in 1981 by two of the pre-eminent control theorists, Roger Brockett and Jan Willems, Systems & Control Letters is one of the leading journals in the field of control theory. The aim of the journal is to allow dissemination of relatively concise but highly original contributions whose high initial quality enables a relatively rapid review process. All aspects of the fields of systems and control are covered, especially mathematically-oriented and theoretical papers that have a clear relevance to engineering, physical and biological sciences, and even economics. Application-oriented papers with sophisticated and rigorous mathematical elements are also welcome.