@inproceedings{60a49291de154fdbadebc1e72ad146d2,
title = "(m, k)-Methods for Control Theory Problems",
abstract = "This paper deals with the derivation of numerical methods for optimal control problems. Many of these problems lead to the necessity of the differential-algebraic equations solution of index 1 and higher. The review of control theory problems is given. An L-stable non-iterative (3, 2)-method of order 2 for the Cauchy problem for systems of index not exceeding 2 is proposed. New approach requires 2 function evaluations, 1 computation of the Jacobian matrix and LU-matrix decomposition at each integration step. Numerical results confirming the efficiency of the method are given.",
keywords = "(m, k)-methods, control theory problems, differential-algebraic equations, trajectory prescribed path control problems",
author = "Anton Novikov and Alexandr Levykin and Eugeny Novikov",
note = "Publisher Copyright: {\textcopyright} 2019 IEEE. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019 ; Conference date: 26-08-2019 Through 30-08-2019",
year = "2019",
month = aug,
doi = "10.1109/OPCS.2019.8880174",
language = "English",
series = "2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "120--124",
booktitle = "2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019",
address = "United States",
}