The parameterization method for solving optimal control problems with multicomponent control

Title	The parameterization method for solving optimal control problems with multicomponent control
Authors	I. V. Lutoshkin¹, A. G. Chekmarev¹ ¹National Research Mordovia State University
Annotation	The development of the parameterization method for optimal control problems described by a system of differential equations and terminal constraints is carried out. The case of a multidimensional control vector and independent parameterization of control coordinates is considered. Algorithms are derived for calculating first- and second-order derivatives in a nonlinear programming problem generated by the parameterization of control functions.
Keywords	optimal control, numerical methods, the parameterization method, second order method.
Citation	Lutoshkin I. V., Chekmarev A. G. ''The parameterization method for solving optimal control problems with multicomponent control'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 29-31, 2025). Saransk: SVMO Publ, 2025. - pp. 159-162. Available at: https://conf.svmo.ru/files/2025/papers/paper32.pdf. - Date of access: 30.08.2025.