{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,4]],"date-time":"2026-05-04T15:59:32Z","timestamp":1777910372174,"version":"3.51.4"},"reference-count":30,"publisher":"SAGE Publications","issue":"10","license":[{"start":{"date-parts":[[2017,7,24]],"date-time":"2017-07-24T00:00:00Z","timestamp":1500854400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61673102"],"award-info":[{"award-number":["61673102"]}],"id":[{"id":"10.13039\/501100001809","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":[[2018,6]]},"abstract":"<jats:p>This study concentrates on investigating the robust [Formula: see text] filtering problem for a nonlinear system described by a Takagi\u2013Sugeno fuzzy model with distributed delay and time-varying delay. The stochastic distribution characteristic of the network-induced delay is considered, and the Bernoulli distributed sequence is utilized to represent the probability distribution of the delay appearing in certain intervals. Firstly, according to parallel distributed compensation, an augmented system with stochastic variable is established. Next, the [Formula: see text] performance criterion guaranteeing the mean-square asymptotic stability of the fuzzy filtering error system is formulated, by taking advantage of a novel Lyapunov\u2013Krasovskii function and the integral inequality method. Thirdly, the robust [Formula: see text] filtering problem is converted into a convex optimization problem and solved using the linear matrix inequality technique. Finally, the results are provided by numerical simulation to certify the effectiveness of the designed filter.<\/jats:p>","DOI":"10.1177\/0142331217716984","type":"journal-article","created":{"date-parts":[[2017,7,24]],"date-time":"2017-07-24T08:09:56Z","timestamp":1500883796000},"page":"3147-3159","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["Robust\n                    <i>L<\/i>\n                    <sub>1<\/sub>\n                    filtering for a nonlinear system described by a Takagi\u2013Sugeno fuzzy model with distributed delay and probabilistic interval delay"],"prefix":"10.1177","volume":"40","author":[{"given":"Yanhui","family":"Li","sequence":"first","affiliation":[{"name":"College of Electrical and Information Engineering, Northeast Petroleum University, 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