{"title":"Input-to-state stability of self-triggered impulsive control systems","authors":"Xiaodi Li , Mingzhu Wang","doi":"10.1016/j.automatica.2025.112596","DOIUrl":null,"url":null,"abstract":"<div><div>This paper studies the local input-to-state stability (<em>LISS</em>) of nonlinear systems under the self-triggered impulsive control (<em>STIC</em>) method. A novel <em>LISS</em>-type comparison principle is proposed, by which the <em>LISS</em> property of addressed system can be derived by the <em>LISS</em> property of its comparison system. On the basis of it, some Lyapunov-based sufficient conditions for non-Zeno behavior and <em>LISS</em> of nonlinear systems are provided in the framework of <em>STIC</em>. Moreover, the designed self-triggering mechanism (<em>STM</em>) is in the form of an explicit relationship with simple structure and east implementation. Finally, two numerical examples are given to illustrate the effectiveness of the proposed results.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"183 ","pages":"Article 112596"},"PeriodicalIF":5.9000,"publicationDate":"2025-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Automatica","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0005109825004911","RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper studies the local input-to-state stability (LISS) of nonlinear systems under the self-triggered impulsive control (STIC) method. A novel LISS-type comparison principle is proposed, by which the LISS property of addressed system can be derived by the LISS property of its comparison system. On the basis of it, some Lyapunov-based sufficient conditions for non-Zeno behavior and LISS of nonlinear systems are provided in the framework of STIC. Moreover, the designed self-triggering mechanism (STM) is in the form of an explicit relationship with simple structure and east implementation. Finally, two numerical examples are given to illustrate the effectiveness of the proposed results.
期刊介绍:
Automatica is a leading archival publication in the field of systems and control. The field encompasses today a broad set of areas and topics, and is thriving not only within itself but also in terms of its impact on other fields, such as communications, computers, biology, energy and economics. Since its inception in 1963, Automatica has kept abreast with the evolution of the field over the years, and has emerged as a leading publication driving the trends in the field.
After being founded in 1963, Automatica became a journal of the International Federation of Automatic Control (IFAC) in 1969. It features a characteristic blend of theoretical and applied papers of archival, lasting value, reporting cutting edge research results by authors across the globe. It features articles in distinct categories, including regular, brief and survey papers, technical communiqués, correspondence items, as well as reviews on published books of interest to the readership. It occasionally publishes special issues on emerging new topics or established mature topics of interest to a broad audience.
Automatica solicits original high-quality contributions in all the categories listed above, and in all areas of systems and control interpreted in a broad sense and evolving constantly. They may be submitted directly to a subject editor or to the Editor-in-Chief if not sure about the subject area. Editorial procedures in place assure careful, fair, and prompt handling of all submitted articles. Accepted papers appear in the journal in the shortest time feasible given production time constraints.