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In dealing with these data which include many indeterminant factors, we can use the multifactor uncertain system to describe a dynamical system with uncertain noises. Optimal control problem is an important research topic which aims at finding the optimal strategy in a dynamical system. In this paper, we consider the optimal control problem for the multifactor uncertain system with two evaluation criterions. Then a two person zero sum differential game model in a multifactor uncertain system is discussed. Finally, as an application, our result is used to solve an uncertain portfolio game model.<\/jats:p>","DOI":"10.1142\/s0218488519500181","type":"journal-article","created":{"date-parts":[[2019,4,26]],"date-time":"2019-04-26T02:06:37Z","timestamp":1556244397000},"page":"397-414","source":"Crossref","is-referenced-by-count":7,"title":["Optimal Control of a Multifactor Uncertain System"],"prefix":"10.1142","volume":"27","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7880-8742","authenticated-orcid":false,"given":"Yun","family":"Sun","sequence":"first","affiliation":[{"name":"School of Science, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuanguo","family":"Zhu","sequence":"additional","affiliation":[{"name":"School of Science, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2019,5,29]]},"reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0531(71)90038-X"},{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(64)90070-8"},{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.2977\/prims\/1195190727"},{"key":"p_4","first-page":"3","volume":"6","author":"Liu B.","year":"2012","journal-title":"J. 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