Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
Controlled Opinion Formation in Multiagent Systems with Constraints on Control Set. / Gao, J.
Frontiers of Dynamic Games: Proceedings of the International Conference “Game Theory and Applications” 2022. Springer Nature, 2024. p. 27-42 (Trends in Mathematics; Vol. Part F3521).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
}
TY - GEN
T1 - Controlled Opinion Formation in Multiagent Systems with Constraints on Control Set
AU - Gao, J.
N1 - Export Date: 10 November 2024
PY - 2024
Y1 - 2024
N2 - We consider a small social network consisting of two agents and one player. The agents’ opinions are influenced by the average social opinion, and the player who also influences the agents’ opinions. The player chooses the set of times to influence only one agent’s opinion, as well as the level of influence to make the society’s opinion as close to his target opinion as possible. The player solves the minimization problem of his costs. In this paper, the player has two options for creating a set of time to control the agent’s opinion: (1) the same time moments are used to monitor the agent’s opinion and control it, and (2) the set of time moments is divided into two subsets, one is for monitoring the agent’s opinion, and another is to use the controls. The linear quadratic optimal control problem is solved using the Euler equation approach. Numerical simulations verify the theoretical results. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.
AB - We consider a small social network consisting of two agents and one player. The agents’ opinions are influenced by the average social opinion, and the player who also influences the agents’ opinions. The player chooses the set of times to influence only one agent’s opinion, as well as the level of influence to make the society’s opinion as close to his target opinion as possible. The player solves the minimization problem of his costs. In this paper, the player has two options for creating a set of time to control the agent’s opinion: (1) the same time moments are used to monitor the agent’s opinion and control it, and (2) the set of time moments is divided into two subsets, one is for monitoring the agent’s opinion, and another is to use the controls. The linear quadratic optimal control problem is solved using the Euler equation approach. Numerical simulations verify the theoretical results. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.
UR - https://www.mendeley.com/catalogue/05e53e84-c855-30c6-a918-c43704a6d98a/
U2 - 10.1007/978-3-031-66379-6_3
DO - 10.1007/978-3-031-66379-6_3
M3 - статья в сборнике материалов конференции
T3 - Trends in Mathematics
SP - 27
EP - 42
BT - Frontiers of Dynamic Games
PB - Springer Nature
Y2 - 28 June 2022 through 1 July 2022
ER -
ID: 127215299