弱条件下随机微分系统的Jurdjevic-Quinn定理

Q4 Engineering

Control and Cybernetics Pub Date : 2022-03-01 DOI:10.2478/candc-2022-0002

P. Florchinger

{"title":"弱条件下随机微分系统的Jurdjevic-Quinn定理","authors":"P. Florchinger","doi":"10.2478/candc-2022-0002","DOIUrl":null,"url":null,"abstract":"Abstract The purpose of this paper is to provide sufficient conditions for the stabilizability of weak solutions of stochastic differential systems when both the drift and diffusion are affine in the control. This result extends the well–known theorem of Jurdjevic– Quinn (Jurdjevic and Quinn, 1978) to stochastic differential systems under weaker conditions on the system coefficients than those assumed in Florchinger (2002).","PeriodicalId":55209,"journal":{"name":"Control and Cybernetics","volume":"51 1","pages":"21 - 29"},"PeriodicalIF":0.0000,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Jurdjevic-Quinn theorem for stochastic differential systems under weak conditions\",\"authors\":\"P. Florchinger\",\"doi\":\"10.2478/candc-2022-0002\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract The purpose of this paper is to provide sufficient conditions for the stabilizability of weak solutions of stochastic differential systems when both the drift and diffusion are affine in the control. This result extends the well–known theorem of Jurdjevic– Quinn (Jurdjevic and Quinn, 1978) to stochastic differential systems under weaker conditions on the system coefficients than those assumed in Florchinger (2002).\",\"PeriodicalId\":55209,\"journal\":{\"name\":\"Control and Cybernetics\",\"volume\":\"51 1\",\"pages\":\"21 - 29\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Control and Cybernetics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/candc-2022-0002\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Engineering\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Control and Cybernetics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/candc-2022-0002","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Engineering","Score":null,"Total":0}

引用次数: 0

摘要

摘要本文的目的是当控制中漂移和扩散都是仿射时，为随机微分系统弱解的可镇定性提供充分条件。这一结果将众所周知的Jurdjevic–Quinn定理（Jurdje维奇和Quinn，1978）扩展到系统系数条件比Florchinger（2002）中假设的条件弱的随机微分系统。

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

A Jurdjevic-Quinn theorem for stochastic differential systems under weak conditions

Abstract The purpose of this paper is to provide sufficient conditions for the stabilizability of weak solutions of stochastic differential systems when both the drift and diffusion are affine in the control. This result extends the well–known theorem of Jurdjevic– Quinn (Jurdjevic and Quinn, 1978) to stochastic differential systems under weaker conditions on the system coefficients than those assumed in Florchinger (2002).

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

Control and Cybernetics 工程技术-计算机：控制论

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The field of interest covers general concepts, theories, methods and techniques associated with analysis, modelling, control and management in various systems (e.g. technological, economic, ecological, social). The journal is particularly interested in results in the following areas of research: Systems and control theory: general systems theory, optimal cotrol, optimization theory, data analysis, learning, artificial intelligence, modelling & identification, game theory, multicriteria optimisation, decision and negotiation methods, soft approaches: stochastic and fuzzy methods, computer science,