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The design is based on a sliding surface whose reachability in finite time is guaranteed by introducing a novel sliding mode control law. Employing the fractional infinitesimal operator and the related lemmas, the stochastic stability of the overall closed-loop system is transformed to the problem of solving a set of linear matrix inequalities. Addressing the fragility issue, a norm-bounded term is added to the observer gain, which prevents failure of the estimation error system. The adverse effects of the input nonlinearity and time-varying delay are alleviated by the proposed approach. Furthermore, the present method is investigated for the fractional It\u00f4 stochastic systems with known states. A numerical example is presented to illustrate the effectiveness of the proposed method. <\/jats:p>","DOI":"10.1177\/09596518211040008","type":"journal-article","created":{"date-parts":[[2021,8,19]],"date-time":"2021-08-19T07:13:48Z","timestamp":1629357228000},"page":"607-619","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":6,"title":["A non-fragile robust observer design for uncertain time-delay fractional It\u00f4 stochastic systems with input nonlinearity: An SMC approach"],"prefix":"10.1177","volume":"236","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1762-3541","authenticated-orcid":false,"given":"Khosro","family":"Khandani","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering, Faculty of Engineering, Arak University, Arak, Iran"}]},{"given":"Majid","family":"Parvizian","sequence":"additional","affiliation":[{"name":"School of Electrical and Computer Engineering, Tarbiat Modares 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