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First, by using an inequality which is introduced from Newton-Leibniz formula, a new synchronization criterion is derived. Second, combining Finsler\u2019s Lemma with homogenous matrix, convergent linear matrix inequality (LMI) relaxations for synchronization analysis are proposed with matrix-valued coefficients. Third, a new variable subintervals method is applied to expand the obtained results. Different from previous results, the interval delays are divided into some subdelays, which can introduce more free weighting matrices. Fourth, the results are shown as LMI, which can be easily analyzed or tested. Finally, the stability of the networks is proved via Lyapunov\u2019s stability theorem, and the simulation of the trajectory claims the practicality of the proposed pinning control.<\/jats:p>","DOI":"10.1155\/2017\/2137103","type":"journal-article","created":{"date-parts":[[2017,6,8]],"date-time":"2017-06-08T21:02:35Z","timestamp":1496955755000},"page":"1-9","source":"Crossref","is-referenced-by-count":1,"title":["Pinning Synchronization for Complex Networks with Interval Coupling Delay by Variable Subintervals Method and Finsler\u2019s Lemma"],"prefix":"10.1155","volume":"2017","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8022-907X","authenticated-orcid":true,"given":"Dawei","family":"Gong","sequence":"first","affiliation":[{"name":"School of Mechatronics Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Frank 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