New fundamental theory in solving the royalty payment problem / Wan Noor Afifah Wan Ahmad and Suliadi Firdaus Sufahani
This study aim to maximize the functional performance index of the non-classical Optimal Control problem. However, solving the problem, this project has to clarify a few constraints. Firstly, the final state is unknown which is resulting in the nonzero value of terminal costate. Besides, the royalty...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Published: |
2020.
|
| Subjects: | |
| Online Access: | Link Metadata |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | This study aim to maximize the functional performance index of the non-classical Optimal Control problem. However, solving the problem, this project has to clarify a few constraints. Firstly, the final state is unknown which is resulting in the nonzero value of terminal costate. Besides, the royalty function is non-differentiable at certain process. Therefore, the indirect method was applied by involving new modified shooting method (Sufahani-Ahmad-Newton-Golden-Royalty Algorithm and Sufahani-Ahmad-Powell-Golden-Royalty Algorithm). The results comparison done with direct method (Euler, Runge-Kutta, Trapezoidal, Hermite-Simpson) as a validation process. Finally, it is expected that new modified shooting method yield highly accurate optimal solution compared to the direct method. |
|---|---|
| Item Description: | https://ir.uitm.edu.my/id/eprint/72980/1/72980.pdf |