马尔可夫切换随机延迟微分方程均方差指数稳定性的新标准

IF 2.5 3区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS
Ky Quan Tran , Pham Huu Anh Ngoc
{"title":"马尔可夫切换随机延迟微分方程均方差指数稳定性的新标准","authors":"Ky Quan Tran ,&nbsp;Pham Huu Anh Ngoc","doi":"10.1016/j.ejcon.2024.101074","DOIUrl":null,"url":null,"abstract":"<div><p>This paper addresses the exponential stability in mean square of nonlinear stochastic delay differential equations with Markovian switching. Using a novel approach, we present new explicit criteria for exponential stability in mean square. A discussion and two examples are given to illustrate the effectiveness of our criteria.</p></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"79 ","pages":"Article 101074"},"PeriodicalIF":2.5000,"publicationDate":"2024-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Novel criteria for exponential stability in mean square of stochastic delay differential equations with Markovian switching\",\"authors\":\"Ky Quan Tran ,&nbsp;Pham Huu Anh Ngoc\",\"doi\":\"10.1016/j.ejcon.2024.101074\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This paper addresses the exponential stability in mean square of nonlinear stochastic delay differential equations with Markovian switching. Using a novel approach, we present new explicit criteria for exponential stability in mean square. A discussion and two examples are given to illustrate the effectiveness of our criteria.</p></div>\",\"PeriodicalId\":50489,\"journal\":{\"name\":\"European Journal of Control\",\"volume\":\"79 \",\"pages\":\"Article 101074\"},\"PeriodicalIF\":2.5000,\"publicationDate\":\"2024-06-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"European Journal of Control\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0947358024001341\",\"RegionNum\":3,\"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":"European Journal of Control","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0947358024001341","RegionNum":3,"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

本文探讨了具有马尔可夫切换的非线性随机延迟微分方程的均方指数稳定性问题。我们采用一种新方法,提出了新的均方指数稳定性显式准则。本文通过讨论和两个实例说明了我们的标准的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Novel criteria for exponential stability in mean square of stochastic delay differential equations with Markovian switching

This paper addresses the exponential stability in mean square of nonlinear stochastic delay differential equations with Markovian switching. Using a novel approach, we present new explicit criteria for exponential stability in mean square. A discussion and two examples are given to illustrate the effectiveness of our criteria.

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
European Journal of Control
European Journal of Control 工程技术-自动化与控制系统
CiteScore
5.80
自引率
5.90%
发文量
131
审稿时长
1 months
期刊介绍: The European Control Association (EUCA) has among its objectives to promote the development of the discipline. Apart from the European Control Conferences, the European Journal of Control is the Association''s main channel for the dissemination of important contributions in the field. The aim of the Journal is to publish high quality papers on the theory and practice of control and systems engineering. The scope of the Journal will be wide and cover all aspects of the discipline including methodologies, techniques and applications. Research in control and systems engineering is necessary to develop new concepts and tools which enhance our understanding and improve our ability to design and implement high performance control systems. Submitted papers should stress the practical motivations and relevance of their results. The design and implementation of a successful control system requires the use of a range of techniques: Modelling Robustness Analysis Identification Optimization Control Law Design Numerical analysis Fault Detection, and so on.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信