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With finite-time stability, nonsmoothness has to be considered, and serious technical challenges arise in the design of finite-time controllers and the stability analysis of the closed-loop system. It is found that FTISS plays an important role as the conventional ISS in the context of asymptotic stability analysis and smooth feedback stabilization. Moreover, a robust adaptive controller is proposed to handle nonlinear systems with parametric and dynamic uncertainties by virtue of FTISS and related arguments.<\/jats:p>","DOI":"10.1137\/070712043","type":"journal-article","created":{"date-parts":[[2010,7,8]],"date-time":"2010-07-08T18:04:19Z","timestamp":1278612259000},"page":"4395-4418","source":"Crossref","is-referenced-by-count":275,"title":["Finite-Time Input-to-State Stability and Applications to Finite-Time Control Design"],"prefix":"10.1137","volume":"48","author":[{"given":"Yiguang","family":"Hong","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhong-Ping","family":"Jiang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Gang","family":"Feng","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2010,7,8]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1109\/9.668834"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012997321358"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1007\/s00498-005-0151-x"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6911(91)90034-C"},{"key":"R5","doi-asserted-by":"crossref","unstructured":"C. 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