Distributed robust anti-interference Nash equilibrium search for second-order multi-agent systems and its application

Yong Chen, Bowen Hao, Fuxi Niu, Jiarui Li, Xiaohong Nian and Hailiang Hou

Mathematics and Computers in Simulation (MATCOM), 2026, vol. 240, issue C, 571-588

Abstract: This paper focuses on achieving a distributed Nash equilibrium while accounting for both matched and mismatched disturbances. It introduces an algorithm that relies on disturbance estimation and a distributed feedforward controller. The algorithm is mainly divided into two parts. The first part is to design effective disturbance observers for different types of disturbances, and the second part is to design distributed feedforward feedback control algorithm utilizing these disturbance observations. By employing this algorithm, the agents’ states ultimately converge to Nash equilibrium points. The convergence of the algorithm is proved by the input state stability criterion and Lyapunov stability analysis. Finally, a numerical simulation and experimental scenario were designed to verify the effectiveness of the algorithm.

Keywords: Nash equilibrium; Distributed algorithm; Multi-agent systems; Mismatched disturbances; Connectivity control (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:240:y:2026:i:c:p:571-588

DOI: 10.1016/j.matcom.2025.07.042

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