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By applying the neural network approximation method and the Nussbaum function approach, the restrictions on non-linear functions and the conditions on the time-varying control coefficient are largely relaxed. In addition, an adaptive neural network state-feedback controller with only one adaptive parameter is successfully constructed by introducing proper Lyapunov\u2013Krasovskii functionals and using the backstepping technique. The proposed scheme guarantees the closed-loop system to be semi-globally uniformly ultimately bounded. Finally, a simulation example demonstrates the effectiveness of the controller.<\/jats:p>","DOI":"10.1177\/0142331216658508","type":"journal-article","created":{"date-parts":[[2016,7,26]],"date-time":"2016-07-26T20:53:12Z","timestamp":1469566392000},"page":"163-170","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["NN approach to state-feedback control of high-order non-linear time-delay systems with time-varying control coefficient"],"prefix":"10.1177","volume":"40","author":[{"given":"Min","family":"Huifang","sequence":"first","affiliation":[{"name":"School of Automation, Nanjing University of Science and Technology, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Duan","family":"Na","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering and Automation, Jiangsu Normal University, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2016,7,26]]},"reference":[{"key":"bibr1-0142331216658508","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2009.02.021"},{"key":"bibr2-0142331216658508","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2014.2357451"},{"key":"bibr3-0142331216658508","doi-asserted-by":"publisher","DOI":"10.1016\/j.isatra.2010.03.002"},{"key":"bibr4-0142331216658508","doi-asserted-by":"publisher","DOI":"10.1016\/j.isatra.2014.08.014"},{"key":"bibr5-0142331216658508","doi-asserted-by":"publisher","DOI":"10.1080\/00207179.2015.1010178"},{"key":"bibr6-0142331216658508","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2013.0435"},{"key":"bibr7-0142331216658508","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2003.819287"},{"key":"bibr8-0142331216658508","doi-asserted-by":"publisher","DOI":"10.1109\/3477.809035"},{"key":"bibr9-0142331216658508","doi-asserted-by":"publisher","DOI":"10.1109\/72.977306"},{"key":"bibr10-0142331216658508","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2003.815049"},{"key":"bibr11-0142331216658508","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2005.844907"},{"key":"bibr12-0142331216658508","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2013.11.026"},{"key":"bibr13-0142331216658508","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2005.07.003"},{"key":"bibr14-0142331216658508","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2010.10.052"},{"key":"bibr15-0142331216658508","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2015.08.001"},{"key":"bibr16-0142331216658508","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2014.06.005"},{"key":"bibr17-0142331216658508","unstructured":"Lin W (2007) Professor Wei Lin. 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