A Non-Classical Optimal Control Problem

  • Wan Noor Afifah Wan Ahmad Universiti Tun Hussein Onn Malaysia
  • Suliadi Sufahani Universiti Tun Hussein Onn Malaysia
  • Mohd Saifullah Rusiman Universiti Tun Hussein Onn Malaysia
  • Maselan Ali Universiti Tun Hussein Onn Malaysia
Keywords: Mathematics, Calculus of Variation, Optimal Control Problem, Nonlinear Programming, Shooting Method

Abstract

We consider another non-classical of optimal control problem that is spurred by some current research on the nonlinear income issue in the field of financial matters. This class of issue can be set up as a maximizing issue in the area of Optimal Control. In any case, the state value at the final fixed time, y(T), is priori unknown and the integrand is an element of the unknown y(T). This is a non-classical optimal control problem. In this paper we apply the new costate value conditions p(T) in the definition of the optimal control problem. We solve some examples in this issue using the numerical shooting method to illuminate the subsequent Two Point Boundary Value Problem (TPBVP) and join the free y(T) as an additionally unknown. Basically similar outcomes are obtained through the nonlinear programming (NP) discrete-time results.
Published
2018-06-27
How to Cite
Wan Ahmad, W. N. A., Sufahani, S., Rusiman, M. S., & Ali, M. (2018). A Non-Classical Optimal Control Problem. Journal of Science and Technology, 10(1). Retrieved from https://publisher.uthm.edu.my/ojs/index.php/JST/article/view/2905