A Numerical Method for Solving Fractional Optimal Control Problems

被引：0
|
作者：
A. R. Fakharzadeh Jahromi
Z. Baneshi
机构：
[1] Shiraz University of Technology,Department of Mathematics, Faculty of Basic Sciences
来源：
Iranian Journal of Science and Technology, Transactions A: Science | 2017年 / 41卷
关键词：
Caputo fractional derivatives; Chebyshev polynomials; Operational matrix;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this article, we introduce a numerical scheme for solving a class of fractional optimal control problems (FOCPs) where the fractional derivative is in Caputo sense. First we approximate the involved functions which are in problem by shifted Chebyshev basis; then, an operational matrix is used to transfer the given optimal control problem into a linear system of algebraic equations. Analyzing the solution of this system, gives us the solution of original problem. A numerical example is also given.
引用
收藏
页码：439 / 443
页数：4
相关论文
共 50 条
  • [1] A Numerical Method for Solving Fractional Optimal Control Problems
    Jahromi, A. R. Fakharzadeh
    Baneshi, Z.
    [J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2017, 41 (A2): : 439 - 443
  • [2] NUMERICAL METHOD FOR SOLVING FRACTIONAL OPTIMAL CONTROL PROBLEMS
    Biswas, Raj Kumar
    Sen, Siddhartha
    [J]. PROCEEDINGS OF ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, VOL 4, PTS A-C, 2010, : 1205 - 1208
  • [3] A numerical method for solving quadratic fractional optimal control problems
    Khalaf, Sanaa L.
    Kassid, Khulood K.
    Khudair, Ayad R.
    [J]. RESULTS IN CONTROL AND OPTIMIZATION, 2023, 13
  • [4] A numerical method for solving variable order fractional optimal control problems
    Ansari, Ali
    Jafari, Hossein
    Rad, Shahriar Farahmand
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 : 755 - 765
  • [5] A Numerical Method for Solving Fractional Optimal Control Problems Using Ritz Method
    Nemati, Ali
    Yousefi, Sohrab Ali
    [J]. JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2016, 11 (05):
  • [6] A numerical technique for solving fractional optimal control problems
    Lotfi, A.
    Dehghan, Mehdi
    Yousefi, S. A.
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) : 1055 - 1067
  • [7] A Numerical Method for Solving Optimal Control Problems
    Topchishvili, A.
    Jibladze, N.
    [J]. PROCEEDINGS OF THE 23RD INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ECONOMICS 2005, 2005, : 396 - 401
  • [8] Wavelets method for solving fractional optimal control problems
    Heydari, M. H.
    Hooshmandasl, M. R.
    Ghaini, F. M. Maalek
    Cattani, C.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2016, 286 : 139 - 154
  • [9] AN ACCURATE NUMERICAL TECHNIQUE FOR SOLVING FRACTIONAL OPTIMAL CONTROL PROBLEMS
    Bhrawy, A. H.
    Doha, E. H.
    Baleanu, D.
    Ezz-Eldien, S. S.
    Abdelkawy, M. A.
    [J]. PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE, 2015, 16 (01): : 47 - 54
  • [10] Direct numerical method for solving optimal control problems
    Ternovskii, V. V.
    Khapaev, M. M.
    [J]. DOKLADY MATHEMATICS, 2008, 77 (03) : 428 - 431
12345