Distributed Nash Equilibrium Seeking Over Time-Varying Signed Networks

• 成果类型: Article
• 署名作者: Peng, Dongxue; Yang, Hao; Jiang, Bin; Ellinas, Georgios; Polycarpou, Marios M.
• 署名单位: Nanjing University of Aeronautics & Astronautics; University of Cyprus; Nanjing University of Aeronautics & Astronautics
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2025.3631723
• 发表日期: 2026
• 关键词: convergence; STABILITY; DYNAMICS; strategy; systems

摘要

This work extends the distributed Nash equilibrium seeking algorithm to address multiagent games under time-varying, signed, and undirected communication networks. Initially, based on uniform complete observability for linear time-varying systems, a new analytical framework is developed to determine the necessary and sufficient condition for achieving globally uniformly exponential stability of the error dynamics of the distributed estimator. It is shown that exponential stability is realized if and only if the joint (is an element of, T)-connectivity and the negative-link assumption of time-varying signed graphs are satisfied. Subsequently, it is demonstrated that under some mild conditions, the seeking algorithm ensures the global uniform exponential convergence of players' strategies toward the Nash equilibrium.