{"title":"论多延迟随机中性型系统的稳定性分析","authors":"","doi":"10.1016/j.automatica.2024.111905","DOIUrl":null,"url":null,"abstract":"<div><p>This note is concerned with the stability analysis problem of stochastic neutral-type time-delay systems with multiple delays. A less restrictive constraint is imposed to ensure that the difference operator (which appears on the left hand side of the stochastic neutral-type time-delay systems) possesses the property that “exponentially converging input implies exponentially converging state”. Such a constraint is necessary and sufficient for the strong stability of the difference equation associated with the system in the deterministic setting, and thus cannot be further relaxed.</p></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":null,"pages":null},"PeriodicalIF":4.8000,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0005109824003996/pdfft?md5=a091ca12892e43d89d77451e78fb4860&pid=1-s2.0-S0005109824003996-main.pdf","citationCount":"0","resultStr":"{\"title\":\"On stability analysis of stochastic neutral-type systems with multiple delays\",\"authors\":\"\",\"doi\":\"10.1016/j.automatica.2024.111905\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This note is concerned with the stability analysis problem of stochastic neutral-type time-delay systems with multiple delays. A less restrictive constraint is imposed to ensure that the difference operator (which appears on the left hand side of the stochastic neutral-type time-delay systems) possesses the property that “exponentially converging input implies exponentially converging state”. Such a constraint is necessary and sufficient for the strong stability of the difference equation associated with the system in the deterministic setting, and thus cannot be further relaxed.</p></div>\",\"PeriodicalId\":55413,\"journal\":{\"name\":\"Automatica\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":4.8000,\"publicationDate\":\"2024-09-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S0005109824003996/pdfft?md5=a091ca12892e43d89d77451e78fb4860&pid=1-s2.0-S0005109824003996-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Automatica\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0005109824003996\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Automatica","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0005109824003996","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}
On stability analysis of stochastic neutral-type systems with multiple delays
This note is concerned with the stability analysis problem of stochastic neutral-type time-delay systems with multiple delays. A less restrictive constraint is imposed to ensure that the difference operator (which appears on the left hand side of the stochastic neutral-type time-delay systems) possesses the property that “exponentially converging input implies exponentially converging state”. Such a constraint is necessary and sufficient for the strong stability of the difference equation associated with the system in the deterministic setting, and thus cannot be further relaxed.
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.
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