Distributed Nash Equilibrium Seeking for Aggregative Games via Derivative Feedback

作     者：Zhang, Yawei Liang, Shu Ji, Haibo 

作者机构：Univ Sci & Technol China Dept Automat Hefei 230027 Anhui Peoples R China Univ Sci & Technol Beijing Sch Automat & Elect Engn Key Lab Knowledge Automat Ind Proc Minist Educ Beijing 100083 Peoples R China 

出 版 物：《INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS》 (国际控制与自动化系统杂志)

年 卷 期：2020年第18卷第5期

页      面：1075-1082页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 08[工学] 0811[工学-控制科学与工程] 

基　　金：National Natural Science Foundation of China [61873029, 61273090] Beijing Natural Science Foundation 

主　　题：Aggregative games distributed algorithm energy consumption control Nash equilibrium projected gradient dynamics 

摘      要：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.