{"title":"具有极限模式切换信息的隐马尔可夫跃迁奇异系统的稳定问题","authors":"Bao Wang;Quanxin Zhu;Subei Li","doi":"10.1109/TAC.2024.3518418","DOIUrl":null,"url":null,"abstract":"This article studies the stability analysis and stabilization problems for a class of discrete-time hidden Markov jump singular systems with partly known transition probabilities and emission probabilities. The novel sufficient conditions with original coefficient matrices are proposed to guarantee the regularity, causality, and stochastic stability of the considered systems. Based on such conditions, the linear matrix inequalities-based asynchronous controller design method for the resulting control systems can be designed. An example is presented to show the effectiveness of our controller design method.","PeriodicalId":13201,"journal":{"name":"IEEE Transactions on Automatic Control","volume":"70 5","pages":"3410-3416"},"PeriodicalIF":7.0000,"publicationDate":"2024-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stabilization of Hidden Markov Jump Singular Systems With Limit Mode Switching Information\",\"authors\":\"Bao Wang;Quanxin Zhu;Subei Li\",\"doi\":\"10.1109/TAC.2024.3518418\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This article studies the stability analysis and stabilization problems for a class of discrete-time hidden Markov jump singular systems with partly known transition probabilities and emission probabilities. The novel sufficient conditions with original coefficient matrices are proposed to guarantee the regularity, causality, and stochastic stability of the considered systems. Based on such conditions, the linear matrix inequalities-based asynchronous controller design method for the resulting control systems can be designed. An example is presented to show the effectiveness of our controller design method.\",\"PeriodicalId\":13201,\"journal\":{\"name\":\"IEEE Transactions on Automatic Control\",\"volume\":\"70 5\",\"pages\":\"3410-3416\"},\"PeriodicalIF\":7.0000,\"publicationDate\":\"2024-12-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Transactions on Automatic Control\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/10803957/\",\"RegionNum\":1,\"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":"IEEE Transactions on Automatic Control","FirstCategoryId":"94","ListUrlMain":"https://ieeexplore.ieee.org/document/10803957/","RegionNum":1,"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}
Stabilization of Hidden Markov Jump Singular Systems With Limit Mode Switching Information
This article studies the stability analysis and stabilization problems for a class of discrete-time hidden Markov jump singular systems with partly known transition probabilities and emission probabilities. The novel sufficient conditions with original coefficient matrices are proposed to guarantee the regularity, causality, and stochastic stability of the considered systems. Based on such conditions, the linear matrix inequalities-based asynchronous controller design method for the resulting control systems can be designed. An example is presented to show the effectiveness of our controller design method.
期刊介绍:
In the IEEE Transactions on Automatic Control, the IEEE Control Systems Society publishes high-quality papers on the theory, design, and applications of control engineering. Two types of contributions are regularly considered:
1) Papers: Presentation of significant research, development, or application of control concepts.
2) Technical Notes and Correspondence: Brief technical notes, comments on published areas or established control topics, corrections to papers and notes published in the Transactions.
In addition, special papers (tutorials, surveys, and perspectives on the theory and applications of control systems topics) are solicited.