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Based on linear matrix inequality techniques, a novel Lyapunov function is constructed to design a filter with a prescribed finite-time [Formula: see text] performance index. Reciprocally, convex approach is introduced to decrease the conservatism of achieved criteria. Finally, some numerical simulations are carried out to demonstrate the effectiveness of developed method.<\/jats:p>","DOI":"10.1177\/0959651818770337","type":"journal-article","created":{"date-parts":[[2018,5,7]],"date-time":"2018-05-07T08:47:28Z","timestamp":1525682848000},"page":"31-43","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":8,"title":["Stochastic finite-time\n                    <i>\n                      H\n                      <sub>\u221e<\/sub>\n                    <\/i>\n                    filtering for nonlinear Markovian jump systems with partly known transition probabilities"],"prefix":"10.1177","volume":"233","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6689-8034","authenticated-orcid":false,"given":"Bo","family":"Wang","sequence":"first","affiliation":[{"name":"School of Electrical and Information Engineering, Xihua University, Chengdu, P.R. 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