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Uniform finite time stability is then proved by extending the homogeneity principle of discontinuous systems to the continuous case with uniformly decaying piecewise continuous nonhomogeneous disturbances. A finite upper bound on the settling time is also computed. The results extend the existing literature on homogeneity and finite time stability by both presenting uniform finite time stabilization and dealing with a broader class of nonhomogeneous disturbances for planar controllable systems while also proposing a new class of homogeneous continuous controllers.<\/jats:p>","DOI":"10.1137\/120877155","type":"journal-article","created":{"date-parts":[[2015,5,7]],"date-time":"2015-05-07T13:05:16Z","timestamp":1431003916000},"page":"1154-1181","source":"Crossref","is-referenced-by-count":32,"title":["Continuous Uniform Finite Time Stabilization of Planar Controllable Systems"],"prefix":"10.1137","volume":"53","author":[{"given":"Harshal B.","family":"Oza","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yury V.","family":"Orlov","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Sarah K.","family":"Spurgeon","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2015,5,7]]},"reference":[{"key":"atypb1","doi-asserted-by":"crossref","unstructured":"A. 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