Journal of Applied Mathematics and Stochastic Analysis 
Volume 4 (1991), Issue 2, Pages 165-173
doi:10.1155/S1048953391000138

The non-parameter penalty function method in constrained optimal control problems

An-Qing Xing

University of Regina, Department of Mathematics and Statistics, Saskatchewan, Regina S4S OA2, Canada

Received 1 September 1989; Revised 1 September 1990

Abstract

This paper is concerned with the generalization, numerical implementation and testing of the non-parameter penalty function algorithm which was initially developed for solving n-dimensional optimization problems. It uses this method to transform a constrained optimal control problem into a sequence of unconstrained optimal control problems. It is shown that the solutions to the original constrained problem. Convergence results are proved both theoretically and numerically.