International Peer-Reviewed JournalOpen AccessISSN 2456-8880
irejournals@gmail.com+91-7433024337

Home / Current Issue / Paper 1702348

1702348PublishedVol 3 · Issue 12

Analytical Solutions of Optimal Control Problems with Mixed Constraints

Afolabi A. S. Olotu O.

Subject area: Science,Engineering and Technology  ·  Area of research: Mathematical Sciences

Abstract

In this research, the analytical solutions of optimal control problems constrained by ordinary differential equations are examined. The analytical solutions are obtained by applying the first order optimality conditions on the Hamiltonian function and solving the resulting system of first order ordinary differential equations. This leads to the optimal state, controland adjoint variables and hence the optimal objective function value. Two examples of optimal control problems constrained by ordinary differential equations are considered.

How to cite this paper

Afolabi A. S., Olotu O. "Analytical Solutions of Optimal Control Problems with Mixed Constraints" Iconic Research And Engineering Journals Volume 3 Issue 12 2020 Page 37-43
Afolabi A. S., Olotu O. "Analytical Solutions of Optimal Control Problems with Mixed Constraints" Iconic Research And Engineering Journals, vol. 3, no. 12, Jun. 2020
Afolabi A. S., Olotu O. (2020). Analytical Solutions of Optimal Control Problems with Mixed Constraints. Iconic Research And Engineering Journals, 3(12).
Afolabi A. S., Olotu O. "Analytical Solutions of Optimal Control Problems with Mixed Constraints" Iconic Research And Engineering Journals, vol. 3, no. 12, Jun. 2020.
@article{1702348,
      author = {Afolabi A. S., Olotu O.},
      title = {Analytical Solutions of Optimal Control Problems with Mixed Constraints},
      journal = {Iconic Research And Engineering Journals},
      year = {2020},
      volume = {3},
      number = {12},
      pages = {37-43},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1702348.pdf},
      abstract = {In this research, the analytical solutions of optimal control problems constrained by ordinary differential equations are examined. The analytical solutions are obtained by applying the first order optimality conditions on the Hamiltonian function and solving the resulting system of first order ordinary differential equations. This leads to the optimal state, controland adjoint variables and hence the optimal objective function value. Two examples of optimal control problems constrained by ordinary differential equations are considered.},
      month = {June},
  }