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By building a strict Lyapunov function and robustly forward invariant sets, we show input-to-state stability under predictable tolerance and safety bounds that guarantee robustness under control uncertainty, input delays, and a class of polygonal state constraints, including adaptive tracking and parameter identification under unknown control gains. Such an understanding may provide certified performance when the control laws are applied to real-life systems.<\/jats:p>","DOI":"10.1137\/120904354","type":"journal-article","created":{"date-parts":[[2015,8,4]],"date-time":"2015-08-04T12:35:11Z","timestamp":1438691711000},"page":"2203-2236","source":"Crossref","is-referenced-by-count":22,"title":["Robustness of Adaptive Control under Time Delays for Three-Dimensional Curve Tracking"],"prefix":"10.1137","volume":"53","author":[{"given":"Michael","family":"Malisoff","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Fumin","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2015,8,4]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2007.902731"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1982.1103023"},{"key":"atypb3","doi-asserted-by":"crossref","unstructured":"A. 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