期刊
AUTOMATICA
卷 135, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2021.109980
关键词
Aggregative games; Nash equilibrium; Cyber-physical systems; Multi-agent systems; Second-order nonlinear systems
资金
- National Natural Science Foundation of China [61803385]
- Hunan Provincial Natural Science Foundation of China [2019JJ50754]
This paper investigates the aggregative games of multi-agent systems with second-order nonlinear dynamics and weight-balanced digraph communication networks. Two distributed algorithms are proposed to control the heterogeneous players to autonomously seek the Nash equilibrium, and their convergence to the Nash equilibrium is analyzed using Lyapunov theorems and variational analysis. The effectiveness of the algorithms is demonstrated through a numerical example.
The aggregative games of multi-agent systems are studied in this paper, where the players have second-order nonlinear dynamics with uncertain parameters and the communication networks among the players are weight-balanced digraphs. In order to control these heterogeneous second-order nonlinear players to autonomously seek the Nash equilibrium of aggregative games, two distributed algorithms are developed. Moreover, the convergence of the two algorithms is analyzed via Lyapunov theorems and variational analysis. By the two algorithms, the players globally exponentially converge to the Nash equilibrium, although the second-order nonlinear dynamics contain uncertain parameters. Finally, the effectiveness of the two algorithms are verified by a numerical example. (c) 2021 Elsevier Ltd. All rights reserved.
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