Standard
(m, k)-Methods for Control Theory Problems. / Novikov, Anton; Levykin, Alexandr; Novikov, Eugeny.
2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019. Institute of Electrical and Electronics Engineers Inc., 2019. p. 120-124 8880174 (2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019).
Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Harvard
Novikov, A
, Levykin, A & Novikov, E 2019,
(m, k)-Methods for Control Theory Problems. in
2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019., 8880174, 2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019, Institute of Electrical and Electronics Engineers Inc., pp. 120-124, 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019, Novosibirsk, Russian Federation,
26.08.2019.
https://doi.org/10.1109/OPCS.2019.8880174APA
Vancouver
Novikov A
, Levykin A, Novikov E.
(m, k)-Methods for Control Theory Problems. In 2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019. Institute of Electrical and Electronics Engineers Inc. 2019. p. 120-124. 8880174. (2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019). doi: 10.1109/OPCS.2019.8880174
Author
Novikov, Anton
; Levykin, Alexandr ; Novikov, Eugeny. /
(m, k)-Methods for Control Theory Problems. 2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 120-124 (2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019).
BibTeX
@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",
}
RIS
TY - GEN
T1 - (m, k)-Methods for Control Theory Problems
AU - Novikov, Anton
AU - Levykin, Alexandr
AU - Novikov, Eugeny
N1 - Publisher Copyright:
© 2019 IEEE.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2019/8
Y1 - 2019/8
N2 - 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.
AB - 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.
KW - (m, k)-methods
KW - control theory problems
KW - differential-algebraic equations
KW - trajectory prescribed path control problems
UR - http://www.scopus.com/inward/record.url?scp=85078072400&partnerID=8YFLogxK
U2 - 10.1109/OPCS.2019.8880174
DO - 10.1109/OPCS.2019.8880174
M3 - Conference contribution
T3 - 2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019
SP - 120
EP - 124
BT - 2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019
Y2 - 26 August 2019 through 30 August 2019
ER -
