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A new algorithm is applied to almost global stabilization of the Brockett integrator that has become a popular benchmark for nonsmooth and discontinuous algorithms. It is proved that the designed control law stabilizes the Brockett integrator for any initial point that does not lie on the x3-axis. Besides, it is shown that the speed-gradient algorithm ensures stabilization with an arbitrarily small control level. An important feature of the proposed control is the fact that it is continuous along trajectories of the closed-loop system.<\/jats:p>","DOI":"10.1137\/15m1013456","type":"journal-article","created":{"date-parts":[[2016,8,24]],"date-time":"2016-08-24T15:39:04Z","timestamp":1472053144000},"page":"2116-2131","source":"Crossref","is-referenced-by-count":10,"title":["Speed-Gradient Control of the Brockett Integrator"],"prefix":"10.1137","volume":"54","author":[{"given":"M. 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