区间时变时滞线性混合系统指数稳定性的新时滞相关充分条件

2013 Third World Congress on Information and Communication Technologies (WICT 2013) Pub Date : 2013-12-01 DOI:10.1109/WICT.2013.7113140

M. Rajchakit, G. Rajchakit

{"title":"区间时变时滞线性混合系统指数稳定性的新时滞相关充分条件","authors":"M. Rajchakit, G. Rajchakit","doi":"10.1109/WICT.2013.7113140","DOIUrl":null,"url":null,"abstract":"This paper is concerned with exponential stability of switched linear systems with interval time-varying delays. The time delay is any continuous function belonging to a given interval, in which the lower bound of delay is not restricted to zero. By constructing a suitable augmented Lyapunov-Krasovskii functional combined with Leibniz-Newton's formula, a switching rule for the exponential stability of switched linear systems with interval time-varying delays and new delay-dependent sufficient conditions for the exponential stability of the systems are first established in terms of LMIs.","PeriodicalId":235292,"journal":{"name":"2013 Third World Congress on Information and Communication Technologies (WICT 2013)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"New delay-dependent sufficient conditions for the exponential stability of linear hybrid systems with interval time-varying delays\",\"authors\":\"M. Rajchakit, G. Rajchakit\",\"doi\":\"10.1109/WICT.2013.7113140\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is concerned with exponential stability of switched linear systems with interval time-varying delays. The time delay is any continuous function belonging to a given interval, in which the lower bound of delay is not restricted to zero. By constructing a suitable augmented Lyapunov-Krasovskii functional combined with Leibniz-Newton's formula, a switching rule for the exponential stability of switched linear systems with interval time-varying delays and new delay-dependent sufficient conditions for the exponential stability of the systems are first established in terms of LMIs.\",\"PeriodicalId\":235292,\"journal\":{\"name\":\"2013 Third World Congress on Information and Communication Technologies (WICT 2013)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2013 Third World Congress on Information and Communication Technologies (WICT 2013)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/WICT.2013.7113140\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2013 Third World Congress on Information and Communication Technologies (WICT 2013)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/WICT.2013.7113140","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 1

摘要

研究了具有区间时变时滞的切换线性系统的指数稳定性问题。时滞是在给定区间内的任意连续函数，其下界不限制为零。通过构造合适的增广Lyapunov-Krasovskii泛函，结合莱布尼兹-牛顿公式，首次建立了区间时变时滞切换线性系统指数稳定性的切换规则，并在lmi上建立了系统指数稳定性的新的时滞相关充分条件。

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

New delay-dependent sufficient conditions for the exponential stability of linear hybrid systems with interval time-varying delays

This paper is concerned with exponential stability of switched linear systems with interval time-varying delays. The time delay is any continuous function belonging to a given interval, in which the lower bound of delay is not restricted to zero. By constructing a suitable augmented Lyapunov-Krasovskii functional combined with Leibniz-Newton's formula, a switching rule for the exponential stability of switched linear systems with interval time-varying delays and new delay-dependent sufficient conditions for the exponential stability of the systems are first established in terms of LMIs.

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

2013 Third World Congress on Information and Communication Technologies (WICT 2013)

自引率

0.00%

发文量