{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,1,27]],"date-time":"2025-01-27T05:58:59Z","timestamp":1737957539946,"version":"3.33.0"},"reference-count":48,"publisher":"SAGE Publications","issue":"1","license":[{"start":{"date-parts":[[2016,6,3]],"date-time":"2016-06-03T00:00:00Z","timestamp":1464912000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Transactions of the Institute of Measurement and Control"],"published-print":{"date-parts":[[2018,1]]},"abstract":"<jats:p> This paper studies the stability analysis of the decentralized event-triggered H<jats:sub>\u221e<\/jats:sub> control with communication delays using the quadratic convex approach. Unlike the decentralized event-triggered mechanism (ETM), which only uses the information from the sensor itself by considering the communication topology of the wireless sensor network, a more general decentralized ETM is first proposed by using the information from both the sensor itself and its neighbours. Then, a time-delay system model with parameters of the decentralized ETM, directed graph information, communication delays and external disturbances is presented. In addition, novel delay-dependent asymptotic stability criteria are derived by using the augmented Lyapunov\u2013Krasovski functional (LKF), which contains the cross terms of variables and quadratic terms multiplied by a higher degree scalar function. Unlike some prior results using the first-order convex combination property, our derivation applies the quadratic convex approach with the augmented LKF, which results in less conservatism. Moreover, sufficient conditions for the co-design of the controller and the decentralized ETM are obtained. Finally, numerical examples confirm the effectiveness of the proposed method. <\/jats:p>","DOI":"10.1177\/0142331216650020","type":"journal-article","created":{"date-parts":[[2016,6,4]],"date-time":"2016-06-04T02:13:47Z","timestamp":1465006427000},"page":"80-93","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":5,"title":["Stability analysis of decentralized event-triggered <i>H<\/i><sub>\u221e<\/sub> control using the quadratic convex approach"],"prefix":"10.1177","volume":"40","author":[{"given":"Fuqiang","family":"Li","sequence":"first","affiliation":[{"name":"Shanghai Key Laboratory of Power Station Automation Technology, School of Mechatronics Engineering and Automation, Shanghai University, China"},{"name":"College of Sciences, Henan Agricultural University, China"}]},{"given":"Jingqi","family":"Fu","sequence":"additional","affiliation":[{"name":"Shanghai Key Laboratory of Power Station Automation Technology, 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