{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T22:51:13Z","timestamp":1777503073628,"version":"3.51.4"},"reference-count":36,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2024,8,5]],"date-time":"2024-08-05T00:00:00Z","timestamp":1722816000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Jilin Innovation and Entrepreneurship Talent Fund","award":["2023QN31"],"award-info":[{"award-number":["2023QN31"]}]},{"name":"Jilin Innovation and Entrepreneurship Talent Fund","award":["2021C038-7"],"award-info":[{"award-number":["2021C038-7"]}]},{"name":"Jilin Innovation and Entrepreneurship Talent Fund","award":["YDZJ202301ZYTS157"],"award-info":[{"award-number":["YDZJ202301ZYTS157"]}]},{"name":"Jilin Innovation and Entrepreneurship Talent Fund","award":["20240304097SF"],"award-info":[{"award-number":["20240304097SF"]}]},{"name":"Jilin Provincial Development and Reform Commission Innovation Project","award":["2023QN31"],"award-info":[{"award-number":["2023QN31"]}]},{"name":"Jilin Provincial Development and Reform Commission Innovation Project","award":["2021C038-7"],"award-info":[{"award-number":["2021C038-7"]}]},{"name":"Jilin Provincial Development and Reform Commission Innovation Project","award":["YDZJ202301ZYTS157"],"award-info":[{"award-number":["YDZJ202301ZYTS157"]}]},{"name":"Jilin Provincial Development and Reform Commission Innovation Project","award":["20240304097SF"],"award-info":[{"award-number":["20240304097SF"]}]},{"name":"Jilin Provincial Natural Science Foundation","award":["2023QN31"],"award-info":[{"award-number":["2023QN31"]}]},{"name":"Jilin Provincial Natural Science Foundation","award":["2021C038-7"],"award-info":[{"award-number":["2021C038-7"]}]},{"name":"Jilin Provincial Natural Science Foundation","award":["YDZJ202301ZYTS157"],"award-info":[{"award-number":["YDZJ202301ZYTS157"]}]},{"name":"Jilin Provincial Natural Science Foundation","award":["20240304097SF"],"award-info":[{"award-number":["20240304097SF"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, a stability analysis and the controller improvement of T-S fuzzy Descriptor system are studied. Firstly, by making full use of the related theory of fuzzy affiliation function and combining the design method of fuzzy Lyapunov function with the method of inequality deflation, a stability condition with wider admissibility and less system conservatism is proposed. The advantage of this method is that it is not necessary to ensure that each fuzzy subsystem is progressively stable. We also maximise the boundary of the derivatives of the affiliation function mined. Secondly, a PDC controller and a Non-PDC controller are designed, and the deflation conditions for the linear matrix inequalities of the two controllers are constructed. Finally, some arithmetic simulations and practical examples are given to demonstrate the effectiveness of the method studied in this paper, and the results obtained are less conservative and have larger feasible domains than previous methods.<\/jats:p>","DOI":"10.3390\/sym16080992","type":"journal-article","created":{"date-parts":[[2024,8,5]],"date-time":"2024-08-05T18:21:40Z","timestamp":1722882100000},"page":"992","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Admissibility Analysis and Controller Design Improvement for T-S Fuzzy Descriptor Systems"],"prefix":"10.3390","volume":"16","author":[{"given":"Han","family":"Yang","sequence":"first","affiliation":[{"name":"School of Mathematics and Computer Science, Jilin Normal University, Siping 136000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shuanghong","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Computer Science, Jilin Normal University, Siping 136000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fanqi","family":"Yu","sequence":"additional","affiliation":[{"name":"School of Mathematics and Computer Science, Jilin Normal University, Siping 136000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,8,5]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"116","DOI":"10.1109\/TSMC.1985.6313399","article-title":"Fuzzy identification of systems and its applications to modeling and control","volume":"1","author":"Takagi","year":"1985","journal-title":"IEEE Trans. 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