{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,4]],"date-time":"2026-05-04T16:09:36Z","timestamp":1777910976798,"version":"3.51.4"},"reference-count":29,"publisher":"SAGE Publications","issue":"1","license":[{"start":{"date-parts":[[2024,11,14]],"date-time":"2024-11-14T00:00:00Z","timestamp":1731542400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"funder":[{"DOI":"10.13039\/100007224","name":"national foundation for science and technology development","doi-asserted-by":"publisher","award":["101.01-2012.01"],"award-info":[{"award-number":["101.01-2012.01"]}],"id":[{"id":"10.13039\/100007224","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Transactions of the Institute of Measurement and Control"],"published-print":{"date-parts":[[2026,1]]},"abstract":"\n In this paper, a linear matrix inequality (LMI)-based design of robust\n \n \n \n \n \n H<\/mml:mi>\n <\/mml:mrow>\n \n \u221e<\/mml:mi>\n <\/mml:mrow>\n <\/mml:msub>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula>\n controllers for linear descriptor discrete-time delay equations is proposed. The existing works of FTS and\n \n \n \n \n \n H<\/mml:mi>\n <\/mml:mrow>\n \n \u221e<\/mml:mi>\n <\/mml:mrow>\n <\/mml:msub>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula>\n control are extended to the linear descriptor equations subjected to time-varying delays and bounded disturbances. First, sufficient LMI-based conditions are given to ensure the admissibility of such system, and then the conditions are applied to design\n \n \n \n \n \n H<\/mml:mi>\n <\/mml:mrow>\n \n \u221e<\/mml:mi>\n <\/mml:mrow>\n <\/mml:msub>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula>\n controllers. A numerical example with simulations is given to illustrate the proposed results.\n <\/jats:p>","DOI":"10.1177\/01423312241274036","type":"journal-article","created":{"date-parts":[[2024,11,15]],"date-time":"2024-11-15T00:56:04Z","timestamp":1731632164000},"page":"87-97","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["New design of robust\n H<\/i>\n \u221e<\/sub>\n controllers for descriptor discrete time-varying delay equations with bounded disturbances"],"prefix":"10.1177","volume":"48","author":[{"given":"Nguyen H","family":"Muoi","sequence":"first","affiliation":[{"name":"Department of Control and Optimization, Institute of Mathematics, Vietnam Academy of Science and Technology, Vietnam"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9467-6674","authenticated-orcid":false,"given":"Vu N","family":"Phat","sequence":"additional","affiliation":[{"name":"ICRTM, Institute of Mathematics, Vietnam Academy of Science and Technology, Vietnam"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2024,11,14]]},"reference":[{"key":"e_1_3_3_2_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4471-5664-2"},{"key":"e_1_3_3_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2023.03.032"},{"key":"e_1_3_3_4_1","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2023.3321688"},{"key":"e_1_3_3_5_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2022.127216"},{"key":"e_1_3_3_6_1","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0002475"},{"key":"e_1_3_3_7_1","first-page":"83","volume-title":"Proceedings of the IRE International Convention Record","volume":"4","author":"Dorato P","year":"1961","unstructured":"Dorato P (1961) Short time stability in linear time-varying systems. 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