TY - JOUR
T1 - The Iterative Method for Optimal Control Problems by the Shifted Legendre Polynomials
AU - A. Ordookhani and H. Kharazi
JO - Journal of Information and Computing Science
VL - 2
SP - 120
EP - 128
PY - 2024
DA - 2024/01
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22520.html
KW - Optimal control problem, Legendre polynomials, Iterative method. 

AB - In this paper an iterative method based on shifted Legendre polynomials is presented to obtain 
the approximate solutions of optimal control problems subject to integral equations. The operational matrices 
of  integration  and  product  of  shifted  Legendre  polynomials  for  solving  integral  equation  is  employed.  The 
methodology is based on  the  parametrization of control and state  functions. This converted the problem to 
nonlinear  optimization  problem  in  any  iteration.  In  addition,  some  numerical  examples  are  presented  to 
illustrate the accuracy and efficiency of the proposed method.