{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,28]],"date-time":"2025-09-28T04:07:40Z","timestamp":1759032460428,"version":"3.38.0"},"reference-count":27,"publisher":"SAGE Publications","issue":"2","license":[{"start":{"date-parts":[[2011,9,9]],"date-time":"2011-09-09T00:00:00Z","timestamp":1315526400000},"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":[[2012,2]]},"abstract":"<jats:p> In this paper, an adaptive robust stabilization algorithm is presented for a class of non-linear systems with mismatched uncertainties. In this regard, a new controller based on the Lyapunov theory is proposed in order to overcome the problem of stabilizing non-linear time-varying systems with mismatched uncertainties. This method is such that the stability of the closed-loop system is guaranteed in the absence of the triangularity assumption. The proposed approach leads to asymptotic convergence of the states of the closed-loop system to zero for unknown but bounded uncertainties. Subsequently, this method is modified so that all the signals in the closed-loop system are uniformly ultimately bounded. Eventually, numerical simulations support the effectiveness of the given algorithm. <\/jats:p>","DOI":"10.1177\/0959651811415002","type":"journal-article","created":{"date-parts":[[2011,9,10]],"date-time":"2011-09-10T03:11:18Z","timestamp":1315624278000},"page":"204-214","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":10,"title":["Adaptive robust stabilization of a class of uncertain non-linear systems with mismatched time-varying parameters"],"prefix":"10.1177","volume":"226","author":[{"given":"M M","family":"Arefi","sequence":"first","affiliation":[{"name":"Electrical Engineering Department, Iran University of Science and Technology, Tehran, Iran"}]},{"given":"M R","family":"Jahed-Motlagh","sequence":"additional","affiliation":[{"name":"Electrical Engineering Department, Iran University of Science and Technology, Tehran, Iran"}]}],"member":"179","published-online":{"date-parts":[[2011,9,9]]},"reference":[{"volume-title":"Nonlinear control design: geometric, adaptive and robust","year":"1995","author":"Marino R","key":"bibr1-0959651811415002"},{"key":"bibr2-0959651811415002","doi-asserted-by":"publisher","DOI":"10.1108\/03321640810847797"},{"key":"bibr3-0959651811415002","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-84628-615-5"},{"key":"bibr4-0959651811415002","doi-asserted-by":"publisher","DOI":"10.1080\/002071799221046"},{"key":"bibr5-0959651811415002","doi-asserted-by":"publisher","DOI":"10.1080\/00207179408923134"},{"first-page":"1033","volume-title":"Proceedings of the 35th IEEE Conference on Decision and control","author":"Hashimoto Y.","key":"bibr6-0959651811415002"},{"key":"bibr7-0959651811415002","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6911(93)90073-F"},{"key":"bibr8-0959651811415002","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1981.1102785"},{"key":"bibr9-0959651811415002","doi-asserted-by":"publisher","DOI":"10.3182\/20090622-3-UK-3004.00064"},{"key":"bibr10-0959651811415002","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2010.02.012"},{"key":"bibr11-0959651811415002","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1982.1102862"},{"key":"bibr12-0959651811415002","doi-asserted-by":"publisher","DOI":"10.1080\/00207178708933831"},{"key":"bibr13-0959651811415002","doi-asserted-by":"publisher","DOI":"10.1016\/0005-1098(93)90181-R"},{"key":"bibr14-0959651811415002","doi-asserted-by":"publisher","DOI":"10.1016\/0005-1098(95)00147-6"},{"volume-title":"Nonlinear systems","year":"2002","author":"Khalil H. 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