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By using the parameter separation technique and adding a power integrator design method, an adaptive controller with upper and lower bounds of the unknown time-varying power is successfully designed to guarantee that all the states of the closed-loop system are bounded in probability and the output tracking error can be regulated into a small neighborhood of the origin in probability. Finally, a simulation example is provided to illustrate the effectiveness of the designed controllers. <\/jats:p>","DOI":"10.1177\/0142331220982231","type":"journal-article","created":{"date-parts":[[2021,1,18]],"date-time":"2021-01-18T09:31:49Z","timestamp":1610962309000},"page":"1880-1890","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":4,"title":["Adaptive tracking control of stochastic nonlinear systems with unknown time-varying powers"],"prefix":"10.1177","volume":"43","author":[{"given":"Huijuan","family":"Li","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics Science, Ludong University, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7606-0403","authenticated-orcid":false,"given":"Wuquan","family":"Li","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics Science, Ludong University, 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