(m, k)-Methods for Control Theory Problems › Обзор исследований

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(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. стр. 120-124 8880174 (2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019).

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование

Harvard

Novikov, A, Levykin, A & Novikov, E 2019, (m, k)-Methods for Control Theory Problems. в 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., стр. 120-124, 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019, Novosibirsk, Российская Федерация, 26.08.2019. https://doi.org/10.1109/OPCS.2019.8880174

APA

Novikov, A., Levykin, A., & Novikov, E. (2019). (m, k)-Methods for Control Theory Problems. в 2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019 (стр. 120-124). [8880174] (2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/OPCS.2019.8880174

Vancouver

Novikov A, Levykin A, Novikov E. (m, k)-Methods for Control Theory Problems. в 2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019. Institute of Electrical and Electronics Engineers Inc. 2019. стр. 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. стр. 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

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 -

ID: 23261741