{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,5]],"date-time":"2026-01-05T22:22:40Z","timestamp":1767651760594,"version":"3.38.0"},"reference-count":33,"publisher":"SAGE Publications","issue":"7","license":[{"start":{"date-parts":[[2020,12,6]],"date-time":"2020-12-06T00:00:00Z","timestamp":1607212800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering"],"published-print":{"date-parts":[[2021,8]]},"abstract":"<jats:p> This article proposes a new [Formula: see text] sliding mode control strategy for stabilizing controller design for fractional-order Markovian jump systems. The suggested approach is based on the diffusive representation of fractional-order Markovian jump systems which transforms the fractional-order system into an integer-order one. Using a new Lyapunov\u2013Krasovskii functional, the problem of [Formula: see text] sliding mode control of uncertain fractional-order Markovian jump systems with exogenous noise is investigated. We propose a sliding surface and prove its reachability. Moreover, the linear matrix inequality conditions for stochastic stability of the resultant sliding motion with a given [Formula: see text] disturbance attenuation level are derived. Eventually, the theoretical results are verified through a simulation example. <\/jats:p>","DOI":"10.1177\/0959651820975251","type":"journal-article","created":{"date-parts":[[2020,12,10]],"date-time":"2020-12-10T16:58:13Z","timestamp":1607619493000},"page":"1154-1163","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":4,"title":["A diffusive representation approach toward <i>H<sub>\u221e<\/sub><\/i> sliding mode control design for fractional-order Markovian jump systems"],"prefix":"10.1177","volume":"235","author":[{"given":"Majid","family":"Parvizian","sequence":"first","affiliation":[{"name":"Intelligent Control Systems Laboratory, School of Electrical and Computer Engineering, Tarbiat Modares University, Tehran, Iran"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1762-3541","authenticated-orcid":false,"given":"Khosro","family":"Khandani","sequence":"additional","affiliation":[{"name":"Department of Electrical 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