Jiabao Wei , Hai Wang , Kaibo Shi , Shuping He , Chengcheng Ren
{"title":"通过马尔可夫跳跃机制实现二维罗塞尔系统的有限区域耗散控制","authors":"Jiabao Wei , Hai Wang , Kaibo Shi , Shuping He , Chengcheng Ren","doi":"10.1016/j.amc.2024.129106","DOIUrl":null,"url":null,"abstract":"<div><div>This paper focuses on the dissipative control design problem for a class of Markov jump systems (MJSs) via two-dimensional (2D) Roesser models. In terms of Lyapunov functional methods and linear matrix inequalities techniques, sufficient conditions are established to obtain the dissipative controller, such that the closed-loop system is finite-region bounded with (<em>Q</em>, <em>S</em>, <span><math><mi>R</mi></math></span>)-<em>κ</em>-dissipative performance. Finally, the potential application of the designed approach is demonstrated via a numerical example of Darboux equations.</div></div>","PeriodicalId":3,"journal":{"name":"ACS Applied Electronic Materials","volume":null,"pages":null},"PeriodicalIF":4.3000,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Finite-region dissipative control for two-dimensional Roesser systems via Markov jumping mechanism\",\"authors\":\"Jiabao Wei , Hai Wang , Kaibo Shi , Shuping He , Chengcheng Ren\",\"doi\":\"10.1016/j.amc.2024.129106\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This paper focuses on the dissipative control design problem for a class of Markov jump systems (MJSs) via two-dimensional (2D) Roesser models. In terms of Lyapunov functional methods and linear matrix inequalities techniques, sufficient conditions are established to obtain the dissipative controller, such that the closed-loop system is finite-region bounded with (<em>Q</em>, <em>S</em>, <span><math><mi>R</mi></math></span>)-<em>κ</em>-dissipative performance. Finally, the potential application of the designed approach is demonstrated via a numerical example of Darboux equations.</div></div>\",\"PeriodicalId\":3,\"journal\":{\"name\":\"ACS Applied Electronic Materials\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":4.3000,\"publicationDate\":\"2024-11-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACS Applied Electronic Materials\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0096300324005678\",\"RegionNum\":3,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, ELECTRICAL & ELECTRONIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACS Applied Electronic Materials","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0096300324005678","RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
Finite-region dissipative control for two-dimensional Roesser systems via Markov jumping mechanism
This paper focuses on the dissipative control design problem for a class of Markov jump systems (MJSs) via two-dimensional (2D) Roesser models. In terms of Lyapunov functional methods and linear matrix inequalities techniques, sufficient conditions are established to obtain the dissipative controller, such that the closed-loop system is finite-region bounded with (Q, S, )-κ-dissipative performance. Finally, the potential application of the designed approach is demonstrated via a numerical example of Darboux equations.