中文

模糊分数阶最优控制问题的庞特里亚金型必要条件

最优化与控制 2017-10-12 v1

摘要

我们证明了一类模糊分数阶最优控制问题的庞特里亚金型必要最优性条件,其中模糊分数阶导数以Caputo意义描述。通过计算三个模糊最优控制系统的极值曲线,新结果得以阐释,其改进了Najariyan和Farahi近期的结果。

关键词

引用

@article{arxiv.1702.01093,
  title  = {A necessary condition of Pontryagin type for fuzzy fractional optimal control problems},
  author = {Omid S. Fard and Javad Soolaki and Delfim F. M. Torres},
  journal= {arXiv preprint arXiv:1702.01093},
  year   = {2017}
}

备注

This is a preprint of a paper whose final and definite form is with 'Discrete and Continuous Dynamical Systems - Series S' (DCDS-S), ISSN 1937-1632 (print), ISSN 1937-1179 (online), available at [https://www.aimsciences.org/journals/home.jsp?journalID=15]. Paper Submitted 06-Jun-2016; Revised 27-Nov-2016; Accepted 03-Feb-2017