Numerical Methods for Calculation of Time-Optimal Control
The article is devoted to algorithms for calculation of time-optimal control in the linear systems. Proposed set of algorithms make possible apply multi-method technique to solving time-optimal control problems with different singularity. Corresponding to this technology the solution is found by a m...
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| Format: | Article |
| Language: | English |
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Irkutsk State University
2014-06-01
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| Series: | Известия Иркутского государственного университета: Серия "Математика" |
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| Online Access: | http://isu.ru/journal/downloadArticle?article=_1e1fc7f889ac400fb126acbdc66e0c64&lang=rus |
| _version_ | 1819025826314715136 |
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| author | A.I. Tyatyushkin |
| author_facet | A.I. Tyatyushkin |
| author_sort | A.I. Tyatyushkin |
| collection | DOAJ |
| description | The article is devoted to algorithms for calculation of time-optimal control
in the linear systems. Proposed set of algorithms make possible apply multi-method
technique to solving time-optimal control problems with different singularity. Corresponding
to this technology the solution is found by a multimethods’ algorithm consisting of
a sequence of steps of different methods applied to the optimization process in order to
accelerate it. Such a technology allows to consider some particularities of the problem
of interest at all stages of its solution and to improve the efficiency of optimal control
search. |
| first_indexed | 2024-12-21T05:16:51Z |
| format | Article |
| id | doaj.art-26a3c0cbb059472284881f7c232b43e1 |
| institution | Directory Open Access Journal |
| issn | 1997-7670 2541-8785 |
| language | English |
| last_indexed | 2024-12-21T05:16:51Z |
| publishDate | 2014-06-01 |
| publisher | Irkutsk State University |
| record_format | Article |
| series | Известия Иркутского государственного университета: Серия "Математика" |
| spelling | doaj.art-26a3c0cbb059472284881f7c232b43e12022-12-21T19:14:55ZengIrkutsk State UniversityИзвестия Иркутского государственного университета: Серия "Математика"1997-76702541-87852014-06-0181164177Numerical Methods for Calculation of Time-Optimal ControlA.I. TyatyushkinThe article is devoted to algorithms for calculation of time-optimal control in the linear systems. Proposed set of algorithms make possible apply multi-method technique to solving time-optimal control problems with different singularity. Corresponding to this technology the solution is found by a multimethods’ algorithm consisting of a sequence of steps of different methods applied to the optimization process in order to accelerate it. Such a technology allows to consider some particularities of the problem of interest at all stages of its solution and to improve the efficiency of optimal control search.http://isu.ru/journal/downloadArticle?article=_1e1fc7f889ac400fb126acbdc66e0c64&lang=rusconvex hull methodattainability settime-optimal problemminimax algorithmlinear controlled system |
| spellingShingle | A.I. Tyatyushkin Numerical Methods for Calculation of Time-Optimal Control Известия Иркутского государственного университета: Серия "Математика" convex hull method attainability set time-optimal problem minimax algorithm linear controlled system |
| title | Numerical Methods for Calculation of Time-Optimal Control |
| title_full | Numerical Methods for Calculation of Time-Optimal Control |
| title_fullStr | Numerical Methods for Calculation of Time-Optimal Control |
| title_full_unstemmed | Numerical Methods for Calculation of Time-Optimal Control |
| title_short | Numerical Methods for Calculation of Time-Optimal Control |
| title_sort | numerical methods for calculation of time optimal control |
| topic | convex hull method attainability set time-optimal problem minimax algorithm linear controlled system |
| url | http://isu.ru/journal/downloadArticle?article=_1e1fc7f889ac400fb126acbdc66e0c64&lang=rus |
| work_keys_str_mv | AT aityatyushkin numericalmethodsforcalculationoftimeoptimalcontrol |