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By means of a convex combination of positive definite matrices, a novel multiple piecewise convex Lyapunov function (MPCLF) is constructed, which can loosen the restrictions of Lyapunov function at switching points and interval interior points. Based on the MPCLF approach, sufficient conditions are established such that the filtering error system is globally uniformly exponentially stable (GUES) and a prescribed noise attenuation level in an [Formula: see text] sense is achieved. Moreover, the corresponding time-varying [Formula: see text] filters are given as well. Finally, the results of the simulation illustrate the feasibility and effectiveness of the proposed approaches. <\/jats:p>","DOI":"10.1177\/0142331220928889","type":"journal-article","created":{"date-parts":[[2020,6,19]],"date-time":"2020-06-19T10:40:19Z","timestamp":1592563219000},"page":"2719-2732","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":4,"title":["Time-varying <i>H<\/i><sub>\u221e<\/sub> filtering for discrete-time switched systems with admissible edge-dependent average dwell time"],"prefix":"10.1177","volume":"42","author":[{"given":"Bingxin","family":"Xue","sequence":"first","affiliation":[{"name":"School of Information and Control Engineering, Qingdao University of Technology, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8105-8244","authenticated-orcid":false,"given":"Ruihua","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Information and Control Engineering, Qingdao 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