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The system under consideration involves discrete and distributed time\u2010varying delays, It\u00f4\u2010type stochastic disturbance, and different system and delay modes. The aim of this paper is to design a fault detection filter such that the fault detection system is stochastically stable and satisfies a prescribed<jats:italic>H<\/jats:italic><jats:sub><jats:italic>\u221e<\/jats:italic><\/jats:sub>disturbance attenuation level. By using a novel Lyapunov functional, a mix\u2010mode\u2010dependent sufficient condition is formulated in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the proposed main results.<\/jats:p>","DOI":"10.1155\/2012\/524271","type":"journal-article","created":{"date-parts":[[2012,12,25]],"date-time":"2012-12-25T21:04:44Z","timestamp":1356469484000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Filtering\u2010Based Fault Detection for Stochastic Markovian Jump System with Distributed Time\u2010Varying Delays and Mixed Modes"],"prefix":"10.1155","volume":"2012","author":[{"given":"Yucai","family":"Ding","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hong","family":"Zhu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shouming","family":"Zhong","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuping","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jianwei","family":"Xia","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2012,12,25]]},"reference":[{"key":"e_1_2_7_1_2","doi-asserted-by":"crossref","unstructured":"DingS. 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