Distributed Nash Equilibrium Seeking for Aggregative Games via Derivative Feedback
Distributed Nash Equilibrium Seeking for Aggregative Games via Derivative Feedback
Yawei Zhang(University of Science and Technology of China); Shu Liang(University of Science and Technology Beijing); Haibo Ji(University of Science and Technology of China)
18권 5호, 1075~1082쪽
초록
In this paper, we investigate a continuous-time distributed Nash equilibrium seeking algorithm for a class of aggregative games, with application to the real-time pricing demand response. To seek the Nash equilibrium via local communication among neighbors, by combining projected gradient dynamics and consensus tracking dynamics, we propose a novel distributed algorithm for the players. We prove the convergence of the distributed algorithm via a constructed Lyapunov function and the variational inequality technique, and show an illustrative simulation related to the energy consumption control in smart grids.
Abstract
In this paper, we investigate a continuous-time distributed Nash equilibrium seeking algorithm for a class of aggregative games, with application to the real-time pricing demand response. To seek the Nash equilibrium via local communication among neighbors, by combining projected gradient dynamics and consensus tracking dynamics, we propose a novel distributed algorithm for the players. We prove the convergence of the distributed algorithm via a constructed Lyapunov function and the variational inequality technique, and show an illustrative simulation related to the energy consumption control in smart grids.
- 발행기관:
- 제어·로봇·시스템학회
- 분류:
- 제어계측공학