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The maximum allowed delay bound is expanded. Under the limitations of frequency and length rate of the large delay period, the sufficient conditions guaranteeing stability of the considered system are obtained and the weighted [Formula: see text]-gain performance analysis is established. Detailed proofs are presented by using co-positive Lyapunov\u2013Krasovskii functional candidates with large delay integral terms and the switching method; where the switching method involves transforming the original system into a positive switched delay system. All the obtained conditions can be solved via linear matrix inequalities. Finally, the validity of the proposed results is illustrated by a numerical example.<\/jats:p>","DOI":"10.1177\/0142331217731622","type":"journal-article","created":{"date-parts":[[2017,10,19]],"date-time":"2017-10-19T17:15:42Z","timestamp":1508433342000},"page":"3800-3808","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["Stability and\n                    <i>L<\/i>\n                    <sub>1<\/sub>\n                    -gain analysis for positive delay systems with large delay period"],"prefix":"10.1177","volume":"40","author":[{"given":"Tingting","family":"Guo","sequence":"first","affiliation":[{"name":"College of Mathematics and Information Science, Shaanxi Normal University, Xi\u2019an, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Baowei","family":"Wu","sequence":"additional","affiliation":[{"name":"College of Mathematics and Information Science, Shaanxi Normal University, 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