One Step Hybrid Block Method for The Solution of Optimal Control Problems

Authors

  • Adamu, M.A. Modibbo Adama University of Technology, Yola
  • Dahiru, U. Modibbo Adama University of Technology, Yola
  • Shalom, D.B. Taraba State University

Keywords:

optimal control, interpolation, collocation, convergent

Abstract

This paper considers interpolation and collocation approach for the development of hybrid linear multistep method for the solution of optimal control problems modelled in ordinary differential equations (ODEs). ForwardBackward Sweep method was adopted via Pontryagin’s principle. Stability analysis was carried on the developed method and it shows that the developed method is stable, consistent and therefore convergent. Also, numerical examples show that the method compete favourably when compared with the existing method.

Author Biographies

Adamu, M.A., Modibbo Adama University of Technology, Yola

Department of Mathematics, Modibbo Adama University of Technology, Yola, Adamawa State, Nigeria.

Dahiru, U., Modibbo Adama University of Technology, Yola

Department of Mathematics, Modibbo Adama University of Technology, Yola, Adamawa State, Nigeria

Shalom, D.B., Taraba State University

Department of Mathematics, Taraba State University, Jalingo, Taraba State, Nigeria.

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Published

2019-12-24

How to Cite

Adamu, M.A., Dahiru, U., & Shalom, D.B. (2019). One Step Hybrid Block Method for The Solution of Optimal Control Problems. International Journal of Science for Global Sustainability, 5(2), 7. Retrieved from https://fugus-ijsgs.com.ng/index.php/ijsgs/article/view/152

Issue

Vol. 5 No. 2 (2019): INTERNATIONAL JOURNAL OF SCIENCE FOR GLOBAL SUSTAINABILITY (IJSGS)

Section

Articles