时间尺度上非瞬时脉冲正开关时滞系统的有限时间稳定性与镇定及其在多智能体系统中的应用

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems Pub Date : 2025-09-18 DOI:10.1016/j.nahs.2025.101643

Bhim Kumar, Muslim Malik

{"title":"时间尺度上非瞬时脉冲正开关时滞系统的有限时间稳定性与镇定及其在多智能体系统中的应用","authors":"Bhim Kumar, Muslim Malik","doi":"10.1016/j.nahs.2025.101643","DOIUrl":null,"url":null,"abstract":"<div><div>This paper investigates the finite-time stability and stabilization of impulsive positive switched delay systems defined on arbitrary time scales, using Lyapunov function-based methods. The finite-time stabilization problem is solved using state feedback controllers on time scales. Furthermore, the applicability of the proposed finite-time stability criteria is demonstrated for positive switched multi-agent delay systems by designing an event-triggered controller on time scales. The analysis extends the existing results to incorporate hybrid time domains with time-dependent switching and provide sufficient conditions for the system’s stability and stabilization within the specified time period. To demonstrate the results of this paper, several numerical and simulation-based examples are presented by considering continuous, discrete, and hybrid time domains simultaneously.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"59 ","pages":"Article 101643"},"PeriodicalIF":3.7000,"publicationDate":"2025-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Finite-time stability and stabilization of positive switched delay systems with non-instantaneous impulses on time scales and applications to multi-agent systems\",\"authors\":\"Bhim Kumar, Muslim Malik\",\"doi\":\"10.1016/j.nahs.2025.101643\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This paper investigates the finite-time stability and stabilization of impulsive positive switched delay systems defined on arbitrary time scales, using Lyapunov function-based methods. The finite-time stabilization problem is solved using state feedback controllers on time scales. Furthermore, the applicability of the proposed finite-time stability criteria is demonstrated for positive switched multi-agent delay systems by designing an event-triggered controller on time scales. The analysis extends the existing results to incorporate hybrid time domains with time-dependent switching and provide sufficient conditions for the system’s stability and stabilization within the specified time period. To demonstrate the results of this paper, several numerical and simulation-based examples are presented by considering continuous, discrete, and hybrid time domains simultaneously.</div></div>\",\"PeriodicalId\":49011,\"journal\":{\"name\":\"Nonlinear Analysis-Hybrid Systems\",\"volume\":\"59 \",\"pages\":\"Article 101643\"},\"PeriodicalIF\":3.7000,\"publicationDate\":\"2025-09-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nonlinear Analysis-Hybrid Systems\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1751570X2500069X\",\"RegionNum\":2,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis-Hybrid Systems","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1751570X2500069X","RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}

引用次数: 0

摘要

本文利用基于Lyapunov函数的方法研究了任意时间尺度上脉冲正开关时滞系统的有限时间稳定性和镇定性。利用状态反馈控制器在时间尺度上解决了系统的有限时间镇定问题。此外，通过设计一个时间尺度上的事件触发控制器，证明了所提出的有限时间稳定性准则对正切换多智能体延迟系统的适用性。该分析扩展了已有的结果，纳入了具有时变开关的混合时域，并为系统在指定时间段内的稳定性和稳定化提供了充分条件。为了证明本文的结果，给出了几个同时考虑连续、离散和混合时域的数值和仿真实例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Finite-time stability and stabilization of positive switched delay systems with non-instantaneous impulses on time scales and applications to multi-agent systems

This paper investigates the finite-time stability and stabilization of impulsive positive switched delay systems defined on arbitrary time scales, using Lyapunov function-based methods. The finite-time stabilization problem is solved using state feedback controllers on time scales. Furthermore, the applicability of the proposed finite-time stability criteria is demonstrated for positive switched multi-agent delay systems by designing an event-triggered controller on time scales. The analysis extends the existing results to incorporate hybrid time domains with time-dependent switching and provide sufficient conditions for the system’s stability and stabilization within the specified time period. To demonstrate the results of this paper, several numerical and simulation-based examples are presented by considering continuous, discrete, and hybrid time domains simultaneously.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Nonlinear Analysis-Hybrid Systems AUTOMATION & CONTROL SYSTEMS-MATHEMATICS, APPLIED

CiteScore

8.30

自引率

9.50%

发文量

审稿时长

>12 weeks

期刊介绍： Nonlinear Analysis: Hybrid Systems welcomes all important research and expository papers in any discipline. Papers that are principally concerned with the theory of hybrid systems should contain significant results indicating relevant applications. Papers that emphasize applications should consist of important real world models and illuminating techniques. Papers that interrelate various aspects of hybrid systems will be most welcome.