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By using Hamilton\u2013Jacobi\u2013Bellman (HJB) equation and finite-time stability theory, sufficient conditions involving V-function are provided, and design steps for nonlinear finite-time tracking control law are derived by constructing augmented systems. In addition, the V-function is constructed to obtain corresponding law for given systems, which verified that the design method is feasible. Simulation examples validate the efficiency of the results.<\/jats:p>","DOI":"10.1142\/s0219691321500314","type":"journal-article","created":{"date-parts":[[2021,6,28]],"date-time":"2021-06-28T02:34:40Z","timestamp":1624847680000},"source":"Crossref","is-referenced-by-count":0,"title":["Design of nonlinear optimal tracking control law based on finite-time stability for quadratic performance index"],"prefix":"10.1142","volume":"19","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1077-980X","authenticated-orcid":false,"given":"Di","family":"Wang","sequence":"first","affiliation":[{"name":"School of Artificial Intelligence, Beijing University of Posts and Telecommunications, Beijing 100876, P. R. China"},{"name":"School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, P. R. China"}]},{"given":"Can","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Artificial Intelligence, Beijing University of Posts and Telecommunications, Beijing 100876, P. R. China"}]},{"given":"Suixiang","family":"Gao","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, P. R. China"}]},{"given":"Fucheng","family":"Liao","sequence":"additional","affiliation":[{"name":"School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, P. R. 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