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Combining the hierarchical algorithm with the graph theory, a new SMC strategy is designed to realize the projective synchronization between the master system and the slave system, which covers the globally complete synchronization and the globally anti-synchronization. In addition, some novel criteria are derived to guarantee the Mittag-Leffler stability of the projective synchronization error system. Finally, a numerical example is given to illustrate the validity of the proposed method. <\/jats:p>","DOI":"10.1177\/01423312211000924","type":"journal-article","created":{"date-parts":[[2021,4,5]],"date-time":"2021-04-05T08:30:08Z","timestamp":1617611408000},"page":"775-783","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["Sliding mode projective synchronization for fractional-order coupled systems based on network without strong connectedness"],"prefix":"10.1177","volume":"44","author":[{"given":"Xin","family":"Meng","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Ocean University of China, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5592-345X","authenticated-orcid":false,"given":"Baoping","family":"Jiang","sequence":"additional","affiliation":[{"name":"School of Electronic and Information Engineering, Suzhou University of Science and Technology, 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