(m, k)-Methods for Control Theory Problems

Anton Novikov, Alexandr Levykin, Eugeny Novikov

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

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.

Original languageEnglish
Title of host publication2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages120-124
Number of pages5
ISBN (Electronic)9781728129860
DOIs
Publication statusPublished - Aug 2019
Event15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019 - Novosibirsk, Russian Federation
Duration: 26 Aug 201930 Aug 2019

Publication series

Name2019 15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019

Conference

Conference15th International Asian School-Seminar Optimization Problems of Complex Systems, OPCS 2019
CountryRussian Federation
CityNovosibirsk
Period26.08.201930.08.2019

Keywords

  • (m, k)-methods
  • control theory problems
  • differential-algebraic equations
  • trajectory prescribed path control problems

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