Pseudospectral method for fractional infinite horizon optimal control problems
Pseudospectral method for fractional infinite horizon optimal control problems
复制标题
分数级无限时域最优控制问题的伪谱方法
DOI：
10.1002/oca.2649
复制
发表时间：
2020-08
影响因子：
1.8
通讯作者：
ari M. H.
中科院分区：
文献类型：
--
作者：
Yang Yin;Noori Sk;ari M. H.
Up to now, several numerical methods have been presented to solve finite horizon fractional optimal control problems by researchers, while solving fractional optimal control problems on infinite domain is a challenging work. Hence, in this article, a numerical method is proposed to solve fractional infinite horizon optimal control problems. At the first stage, a domain transformation technique is used to map the infinite domain to a finite horizon. Also, fractional derivative defined on an unbounded domain is converted into an equivalent derivative on a finite domain. Then, a new shifted Legendre pseudospectral method is utilized to solve the obtained finite problem and a nonlinear programming problem is suggested to approximate the optimal solutions. Finally, some numerical examples are given to show the efficiency of the method.
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DOI：
10.1016/j.aml.2013.03.007
发表时间：
2013-07
期刊：
Appl. Math. Lett.
影响因子：
--
作者：
R. Almeida
通讯作者：
R. Almeida
影响因子：
6.4
作者：
Garg, Divya;Hager, William W.;Rao, Anil V.
通讯作者：
Rao, Anil V.
影响因子：
--
作者：
Sweilam NH;Al-Ajami TM;Hoppe RH
通讯作者：
Hoppe RH
影响因子：
2.8
作者：
E. Keshavarz;Y. Ordokhani;M. Razzaghi
通讯作者：
E. Keshavarz;Y. Ordokhani;M. Razzaghi
影响因子：
1.8
作者：
M. H. Noori Skandari;A. Nazemi
通讯作者：
M. H. Noori Skandari;A. Nazemi