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On class of linear quadratic non-cooperative differential games with continuous updating. / Kuchkarov, Ildus; Petrosian, Ovanes.

Mathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Proceedings. ed. / Michael Khachay; Yury Kochetov; Panos Pardalos. Springer Nature, 2019. p. 635-650 (Lecture Notes in Computer Science; Vol. 11548).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Kuchkarov, I & Petrosian, O 2019, On class of linear quadratic non-cooperative differential games with continuous updating. in M Khachay, Y Kochetov & P Pardalos (eds), Mathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Proceedings. Lecture Notes in Computer Science, vol. 11548, Springer Nature, pp. 635-650, 18th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2019, Ekaterinburg, Russian Federation, 8/07/19. https://doi.org/10.1007/978-3-030-22629-9_45

APA

Kuchkarov, I., & Petrosian, O. (2019). On class of linear quadratic non-cooperative differential games with continuous updating. In M. Khachay, Y. Kochetov, & P. Pardalos (Eds.), Mathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Proceedings (pp. 635-650). (Lecture Notes in Computer Science; Vol. 11548). Springer Nature. https://doi.org/10.1007/978-3-030-22629-9_45

Vancouver

Kuchkarov I, Petrosian O. On class of linear quadratic non-cooperative differential games with continuous updating. In Khachay M, Kochetov Y, Pardalos P, editors, Mathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Proceedings. Springer Nature. 2019. p. 635-650. (Lecture Notes in Computer Science). https://doi.org/10.1007/978-3-030-22629-9_45

Author

Kuchkarov, Ildus ; Petrosian, Ovanes. / On class of linear quadratic non-cooperative differential games with continuous updating. Mathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Proceedings. editor / Michael Khachay ; Yury Kochetov ; Panos Pardalos. Springer Nature, 2019. pp. 635-650 (Lecture Notes in Computer Science).

BibTeX

@inproceedings{691f57e4992c4305b16fcb29a9801630,
title = "On class of linear quadratic non-cooperative differential games with continuous updating",
abstract = "The subject of this paper is a linear quadratic case of a differential game model with continuous updating. This class of differential games is essentially new, there it is assumed that at each time instant, players have or use information about the game structure defined on a closed time interval with a fixed duration. As time goes on, information about the game structure updates. Under the information about the game structure we understand information about motion equations and payoff functions of players. A linear quadratic case for this class of games is particularly important for practical problems arising in the engineering of human-machine interaction. The notion of Nash equilibrium as an optimality principle is defined and the explicit form of Nash equilibrium for the linear quadratic case is presented. Also, the case of dynamic updating for the linear quadratic differential game is studied and uniform convergence of Nash equilibrium strategies and corresponding trajectory for a case of continuous updating and dynamic updating is demonstrated.",
keywords = "Differential games with continuous updating, Linear quadratic differential games, Nash equilibrium",
author = "Ildus Kuchkarov and Ovanes Petrosian",
year = "2019",
month = jan,
day = "1",
doi = "10.1007/978-3-030-22629-9_45",
language = "English",
isbn = "9783030226282",
series = "Lecture Notes in Computer Science",
publisher = "Springer Nature",
pages = "635--650",
editor = "Michael Khachay and Yury Kochetov and Panos Pardalos",
booktitle = "Mathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Proceedings",
address = "Germany",
note = "18th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2019 ; Conference date: 08-07-2019 Through 12-07-2019",

}

RIS

TY - GEN

T1 - On class of linear quadratic non-cooperative differential games with continuous updating

AU - Kuchkarov, Ildus

AU - Petrosian, Ovanes

PY - 2019/1/1

Y1 - 2019/1/1

N2 - The subject of this paper is a linear quadratic case of a differential game model with continuous updating. This class of differential games is essentially new, there it is assumed that at each time instant, players have or use information about the game structure defined on a closed time interval with a fixed duration. As time goes on, information about the game structure updates. Under the information about the game structure we understand information about motion equations and payoff functions of players. A linear quadratic case for this class of games is particularly important for practical problems arising in the engineering of human-machine interaction. The notion of Nash equilibrium as an optimality principle is defined and the explicit form of Nash equilibrium for the linear quadratic case is presented. Also, the case of dynamic updating for the linear quadratic differential game is studied and uniform convergence of Nash equilibrium strategies and corresponding trajectory for a case of continuous updating and dynamic updating is demonstrated.

AB - The subject of this paper is a linear quadratic case of a differential game model with continuous updating. This class of differential games is essentially new, there it is assumed that at each time instant, players have or use information about the game structure defined on a closed time interval with a fixed duration. As time goes on, information about the game structure updates. Under the information about the game structure we understand information about motion equations and payoff functions of players. A linear quadratic case for this class of games is particularly important for practical problems arising in the engineering of human-machine interaction. The notion of Nash equilibrium as an optimality principle is defined and the explicit form of Nash equilibrium for the linear quadratic case is presented. Also, the case of dynamic updating for the linear quadratic differential game is studied and uniform convergence of Nash equilibrium strategies and corresponding trajectory for a case of continuous updating and dynamic updating is demonstrated.

KW - Differential games with continuous updating

KW - Linear quadratic differential games

KW - Nash equilibrium

UR - http://www.scopus.com/inward/record.url?scp=85067677203&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/class-linear-quadratic-noncooperative-differential-games-continuous-updating

U2 - 10.1007/978-3-030-22629-9_45

DO - 10.1007/978-3-030-22629-9_45

M3 - Conference contribution

AN - SCOPUS:85067677203

SN - 9783030226282

T3 - Lecture Notes in Computer Science

SP - 635

EP - 650

BT - Mathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Proceedings

A2 - Khachay, Michael

A2 - Kochetov, Yury

A2 - Pardalos, Panos

PB - Springer Nature

T2 - 18th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2019

Y2 - 8 July 2019 through 12 July 2019

ER -

ID: 44440319