{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,18]],"date-time":"2025-10-18T23:08:16Z","timestamp":1760828896219},"reference-count":30,"publisher":"Oxford University Press (OUP)","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IMA J Math Control Info"],"DOI":"10.1093\/imamci\/dnv064","type":"journal-article","created":{"date-parts":[[2015,12,9]],"date-time":"2015-12-09T13:34:28Z","timestamp":1449668068000},"page":"dnv064","source":"Crossref","is-referenced-by-count":7,"title":["Continuous fractional sliding mode-like control for exact rejection of non-differentiable H\u00f6lder disturbances"],"prefix":"10.1093","author":[{"given":"A. J.","family":"Mu\u00f1oz-V\u00e1zquez","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"V.","family":"Parra-Vega","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.","family":"S\u00e1nchez-Orta","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2015,12,8]]},"reference":[{"key":"2015120818195216000_dnv064v1.1","unstructured":"Barbosa R. S. & Tenreiro-Machado J. A. (2002) Fractional describing function analysis of systems with backlash and impact phenomena. Proceedings of the Conference on Intelligent Engineering Systems. Opatija, Croatia, pp. 521\u2013526."},{"key":"2015120818195216000_dnv064v1.2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2009.06.046"},{"key":"2015120818195216000_dnv064v1.3","volume-title":"Nonsmooth Analysis and Control Theory","author":"Clarke","year":"1998"},{"key":"2015120818195216000_dnv064v1.4","doi-asserted-by":"publisher","DOI":"10.1016\/j.mechatronics.2013.05.009"},{"key":"2015120818195216000_dnv064v1.5","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-010-9915-z"},{"key":"2015120818195216000_dnv064v1.6","doi-asserted-by":"crossref","unstructured":"D\u00e1vila A. , Moreno J. & Fridman L. (2009) Optimal Lyapunov function selection for reaching time estimation of super twisting algorithm. Proceedings of the IEEE Conference on Decision and Control. Shangai, China, pp. 8405\u20138410.","DOI":"10.1109\/CDC.2009.5400466"},{"key":"2015120818195216000_dnv064v1.7","doi-asserted-by":"publisher","DOI":"10.1007\/BF01128162"},{"key":"2015120818195216000_dnv064v1.8","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-015-7793-9","volume-title":"Differential Equations with Discontinuous Right Hand Sides","author":"Flilipov","year":"1988"},{"key":"2015120818195216000_dnv064v1.9","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-012-0687-5"},{"key":"2015120818195216000_dnv064v1.10","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1016\/j.matcom.2012.04.009","article-title":"On some generalizations of the implicit Euler method for discontinuous fractional differential equations","volume":"95","author":"Garrapa","year":"2013","journal-title":"Math. Comput. Simul."},{"key":"2015120818195216000_dnv064v1.11","first-page":"301","article-title":"Weierstrass's non-differentiable function","volume":"17","author":"Hardy","year":"1916","journal-title":"Trans. Am. Math. Soc."},{"key":"2015120818195216000_dnv064v1.12","doi-asserted-by":"publisher","DOI":"10.1016\/0169-5983(92)90059-6"},{"key":"2015120818195216000_dnv064v1.13","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2012.2228051"},{"key":"2015120818195216000_dnv064v1.14","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.1397"},{"key":"2015120818195216000_dnv064v1.15","doi-asserted-by":"crossref","first-page":"422","DOI":"10.1137\/1010093","article-title":"Fractional Brownian motions, fractional noises and applications","volume":"10","author":"Mandelbrot","journal-title":"SIAM Rev."},{"key":"2015120818195216000_dnv064v1.16","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2012.2186179"},{"key":"2015120818195216000_dnv064v1.17","doi-asserted-by":"crossref","unstructured":"Mu\u00f1oz-V\u00e1zquez A. J. , Parra-Vega V. & S\u00e1nchez-Orta A. (2014a) Free-model fractional-order absolutely continuous sliding mode control for Euler-Lagrange systems. Proceedings of the IEEE Conference on Decision and Control. Los Angeles, California, USA, pp. 6933\u20136938.","DOI":"10.1109\/CDC.2014.7040478"},{"key":"2015120818195216000_dnv064v1.18","doi-asserted-by":"crossref","unstructured":"Mu\u00f1oz-V\u00e1zquez A. J. , Parra-Vega V. , S\u00e1nchez-Orta A. , Garc\u00eda O. & Izaguirre-Espinosa C. (2014b) Attitude tracking control of a quadrotor based on absolutely continuous fractional integral sliding modes. Proceedings of the IEEE Conference on Control Applications. Antibes, France, pp. 717\u2013722.","DOI":"10.1109\/CCA.2014.6981425"},{"key":"2015120818195216000_dnv064v1.19","first-page":"731","article-title":"Fractional order sliding mode control with reaching law approach","volume":"18","author":"\u00d6nder-Efe","year":"2010","journal-title":"Turk. J. Elec. Eng. Comput. Sci."},{"key":"2015120818195216000_dnv064v1.20","doi-asserted-by":"publisher","DOI":"10.1177\/0142331210377227"},{"key":"2015120818195216000_dnv064v1.21","doi-asserted-by":"publisher","DOI":"10.1016\/S0947-3580(95)70014-0"},{"key":"2015120818195216000_dnv064v1.22","doi-asserted-by":"crossref","unstructured":"Pisano A. , Rapaic M. , Jelecic Z. & Usai E. (2010) On second-order sliding-mode control of fractional-order dynamics. Proceedings of the IEEE American Control Conference. Baltimore, Maryland, USA, pp. 680\u2013685.","DOI":"10.1109\/ACC.2010.5531350"},{"key":"2015120818195216000_dnv064v1.23","volume-title":"Fractional Differential Equations","author":"Podlubny","year":"1999"},{"key":"2015120818195216000_dnv064v1.24","doi-asserted-by":"publisher","DOI":"10.1109\/9.739144"},{"key":"2015120818195216000_dnv064v1.25","doi-asserted-by":"crossref","first-page":"140","DOI":"10.2307\/44152475","article-title":"Functions that have no first order derivative might have fractional derivatives of all order less than one","volume":"20","author":"Ross","year":"1994","journal-title":"Real Analysis Exchange"},{"key":"2015120818195216000_dnv064v1.26","volume-title":"Fractional Integrals and Derivatives. Theory and Applications","author":"Samko","year":"1993"},{"key":"2015120818195216000_dnv064v1.27","doi-asserted-by":"publisher","DOI":"10.1016\/j.mechatronics.2013.01.011"},{"key":"2015120818195216000_dnv064v1.28","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-84379-2","volume-title":"Sliding Modes in Control and Optimization","author":"Utkin","year":"1992"},{"key":"2015120818195216000_dnv064v1.29","doi-asserted-by":"crossref","unstructured":"Utkin V. & Shi J. (1996) Integral sliding mode in systems operating under uncertainty conditions. Proceedings of the IEEE Conference on Decision and Control. Kobe, Japan, pp. 4591\u20134596.","DOI":"10.1109\/CDC.1996.577594"},{"key":"2015120818195216000_dnv064v1.30","unstructured":"Vinagre B. M. & Calder\u00f3n A. J. (2006) On fractional sliding mode control. Proceedings of the Portuguese Conference on Automatic Control. Lisbon, Portugal."}],"container-title":["IMA Journal of Mathematical Control and Information"],"original-title":[],"language":"en","deposited":{"date-parts":[[2020,9,12]],"date-time":"2020-09-12T11:30:21Z","timestamp":1599910221000},"score":1,"resource":{"primary":{"URL":"https:\/\/academic.oup.com\/imamci\/article-lookup\/doi\/10.1093\/imamci\/dnv064"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,12,8]]},"references-count":30,"alternative-id":["10.1093\/imamci\/dnv064"],"URL":"https:\/\/doi.org\/10.1093\/imamci\/dnv064","relation":{},"ISSN":["0265-0754","1471-6887"],"issn-type":[{"value":"0265-0754","type":"print"},{"value":"1471-6887","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,12,8]]}}}