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For convenience of computation, a sufficient and necessary condition for the existence of a solution to the two-point boundary value problem is expressed using a set of linear matrix inequalities. As an application example, we apply the suggested method to deal with the sampled-data [Formula: see text] filtering problem. A numerical example of a mass\u2013spring system is used to verify the effectiveness of the theoretical result. <\/jats:p>","DOI":"10.1177\/0142331217741956","type":"journal-article","created":{"date-parts":[[2017,12,5]],"date-time":"2017-12-05T07:56:02Z","timestamp":1512460562000},"page":"4125-4132","update-policy":"http:\/\/dx.doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["Stability and H<\/i>\u221e<\/sub> performance analysis for a class of impulsive differential systems"],"prefix":"10.1177","volume":"40","author":[{"given":"Baolong","family":"Zhu","sequence":"first","affiliation":[{"name":"School of Astronautics, Harbin Institute of Technology, Harbin, China"}]},{"given":"Jie","family":"Ma","sequence":"additional","affiliation":[{"name":"School of Astronautics, Harbin Institute of Technology, Harbin, China"}]},{"given":"Shunli","family":"Li","sequence":"additional","affiliation":[{"name":"School of Astronautics, Harbin 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