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On periodic solution to control problem with time-driven switching. / Gromov, Dmitry; Bondarev, Anton; Gromova, Ekaterina.

в: Optimization Letters, 19.05.2021.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Gromov, D, Bondarev, A & Gromova, E 2021, 'On periodic solution to control problem with time-driven switching', Optimization Letters. https://doi.org/10.1007/s11590-021-01749-6

APA

Gromov, D., Bondarev, A., & Gromova, E. (2021). On periodic solution to control problem with time-driven switching. Optimization Letters. https://doi.org/10.1007/s11590-021-01749-6

Vancouver

Gromov D, Bondarev A, Gromova E. On periodic solution to control problem with time-driven switching. Optimization Letters. 2021 Май 19. https://doi.org/10.1007/s11590-021-01749-6

Author

Gromov, Dmitry ; Bondarev, Anton ; Gromova, Ekaterina. / On periodic solution to control problem with time-driven switching. в: Optimization Letters. 2021.

BibTeX

@article{1fa9e2a473034779b6a7bffc236b4fc8,
title = "On periodic solution to control problem with time-driven switching",
abstract = "In this contribution, we consider the optimal control problem for a switched dynamical system. While such systems can exhibit rather complex behavior in the case of only one switch, the most interesting problem corresponds to the case, when the system undergoes an infinite number of switches. We study the limiting behavior of optimal solutions under such assumption and show that there are three types of solutions, two of which correspond to cyclic evolution of the system state and control.",
keywords = "Hybrid optimal control, Optimal control, Periodic system, Switched dynamics, POLLUTION, WETTABILITY, MODELS, DIFFERENTIAL GAME",
author = "Dmitry Gromov and Anton Bondarev and Ekaterina Gromova",
note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2021",
month = may,
day = "19",
doi = "10.1007/s11590-021-01749-6",
language = "English",
journal = "Optimization Letters",
issn = "1862-4472",
publisher = "Springer Nature",

}

RIS

TY - JOUR

T1 - On periodic solution to control problem with time-driven switching

AU - Gromov, Dmitry

AU - Bondarev, Anton

AU - Gromova, Ekaterina

N1 - Publisher Copyright: © 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/5/19

Y1 - 2021/5/19

N2 - In this contribution, we consider the optimal control problem for a switched dynamical system. While such systems can exhibit rather complex behavior in the case of only one switch, the most interesting problem corresponds to the case, when the system undergoes an infinite number of switches. We study the limiting behavior of optimal solutions under such assumption and show that there are three types of solutions, two of which correspond to cyclic evolution of the system state and control.

AB - In this contribution, we consider the optimal control problem for a switched dynamical system. While such systems can exhibit rather complex behavior in the case of only one switch, the most interesting problem corresponds to the case, when the system undergoes an infinite number of switches. We study the limiting behavior of optimal solutions under such assumption and show that there are three types of solutions, two of which correspond to cyclic evolution of the system state and control.

KW - Hybrid optimal control

KW - Optimal control

KW - Periodic system

KW - Switched dynamics

KW - POLLUTION

KW - WETTABILITY

KW - MODELS

KW - DIFFERENTIAL GAME

UR - http://www.scopus.com/inward/record.url?scp=85106224769&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/538199c9-5bb2-3e6e-a8f7-34ade6f82c7c/

U2 - 10.1007/s11590-021-01749-6

DO - 10.1007/s11590-021-01749-6

M3 - Article

AN - SCOPUS:85106224769

JO - Optimization Letters

JF - Optimization Letters

SN - 1862-4472

ER -

ID: 77250296