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On Optimal Positional Strategies in Fractional Optimal Control Problems: book chapter. / Gomoyunov, Mikhail.
Mathematical Optimization Theory and Operations Research 22nd International Conference, MOTOR 2023, Ekaterinburg, Russia, July 2–8, 2023, Proceedings: book. ed. / Michael Khachay; Yury Kochetov; Anton Eremeev; Oleg Khamisov. Switzerland: Springer Cham, 2023. p. 255-265 Chapter 17 (Mathematical Optimization Theory and Operations Research; Vol. 13930).

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

Harvard

Gomoyunov, M 2023, On Optimal Positional Strategies in Fractional Optimal Control Problems: book chapter. in M Khachay, Y Kochetov, A Eremeev & O Khamisov (eds), Mathematical Optimization Theory and Operations Research 22nd International Conference, MOTOR 2023, Ekaterinburg, Russia, July 2–8, 2023, Proceedings: book., Chapter 17, Mathematical Optimization Theory and Operations Research, vol. 13930, Springer Cham, Switzerland, pp. 255-265. https://doi.org/10.1007/978-3-031-35305-5_17

APA

Gomoyunov, M. (2023). On Optimal Positional Strategies in Fractional Optimal Control Problems: book chapter. In M. Khachay, Y. Kochetov, A. Eremeev, & O. Khamisov (Eds.), Mathematical Optimization Theory and Operations Research 22nd International Conference, MOTOR 2023, Ekaterinburg, Russia, July 2–8, 2023, Proceedings: book (pp. 255-265). [Chapter 17] (Mathematical Optimization Theory and Operations Research; Vol. 13930). Springer Cham. https://doi.org/10.1007/978-3-031-35305-5_17

Vancouver

Gomoyunov M. On Optimal Positional Strategies in Fractional Optimal Control Problems: book chapter. In Khachay M, Kochetov Y, Eremeev A, Khamisov O, editors, Mathematical Optimization Theory and Operations Research 22nd International Conference, MOTOR 2023, Ekaterinburg, Russia, July 2–8, 2023, Proceedings: book. Switzerland: Springer Cham. 2023. p. 255-265. Chapter 17. (Mathematical Optimization Theory and Operations Research). doi: 10.1007/978-3-031-35305-5_17

Author

Gomoyunov, Mikhail. / On Optimal Positional Strategies in Fractional Optimal Control Problems : book chapter. Mathematical Optimization Theory and Operations Research 22nd International Conference, MOTOR 2023, Ekaterinburg, Russia, July 2–8, 2023, Proceedings: book. editor / Michael Khachay ; Yury Kochetov ; Anton Eremeev ; Oleg Khamisov. Switzerland : Springer Cham, 2023. pp. 255-265 (Mathematical Optimization Theory and Operations Research).

BibTeX

@inproceedings{ef93e6d581cf4306af93c81e2aed06e5,
title = "On Optimal Positional Strategies in Fractional Optimal Control Problems: book chapter",
abstract = "We consider an optimal control problem for a dynamical system described by a Caputo fractional differential equation and a Mayer cost functional. We propose a new method for constructing an optimal positional control strategy, which allows us to generate near optimal controls for any initial system state by using time-discrete recursive feedback control procedures. The method is based on the knowledge of the optimal result functional and uses a special Lyapunov–Krasovskii functional.",
author = "Mikhail Gomoyunov",
year = "2023",
month = jun,
day = "26",
doi = "10.1007/978-3-031-35305-5_17",
language = "English",
series = "Mathematical Optimization Theory and Operations Research",
publisher = "Springer Cham",
pages = "255--265",
editor = "Michael Khachay and Yury Kochetov and Anton Eremeev and Oleg Khamisov",
booktitle = "Mathematical Optimization Theory and Operations Research 22nd International Conference, MOTOR 2023, Ekaterinburg, Russia, July 2–8, 2023, Proceedings",
address = "United Kingdom",

}

RIS

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T1 - On Optimal Positional Strategies in Fractional Optimal Control Problems

T2 - book chapter

AU - Gomoyunov, Mikhail

PY - 2023/6/26

Y1 - 2023/6/26

N2 - We consider an optimal control problem for a dynamical system described by a Caputo fractional differential equation and a Mayer cost functional. We propose a new method for constructing an optimal positional control strategy, which allows us to generate near optimal controls for any initial system state by using time-discrete recursive feedback control procedures. The method is based on the knowledge of the optimal result functional and uses a special Lyapunov–Krasovskii functional.

AB - We consider an optimal control problem for a dynamical system described by a Caputo fractional differential equation and a Mayer cost functional. We propose a new method for constructing an optimal positional control strategy, which allows us to generate near optimal controls for any initial system state by using time-discrete recursive feedback control procedures. The method is based on the knowledge of the optimal result functional and uses a special Lyapunov–Krasovskii functional.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85164930615

U2 - 10.1007/978-3-031-35305-5_17

DO - 10.1007/978-3-031-35305-5_17

M3 - Conference contribution

T3 - Mathematical Optimization Theory and Operations Research

SP - 255

EP - 265

BT - Mathematical Optimization Theory and Operations Research 22nd International Conference, MOTOR 2023, Ekaterinburg, Russia, July 2–8, 2023, Proceedings

A2 - Khachay, Michael

A2 - Kochetov, Yury

A2 - Eremeev, Anton

A2 - Khamisov, Oleg

PB - Springer Cham

CY - Switzerland

ER -

ID: 41987388