Target-Attackers-Defenders Linear-Quadratic Exponential Stochastic Differential Games With Distributed Control

Guilu Li, Jianan Wang, Fuxiang Liu*, Fang Deng

*此作品的通讯作者

科研成果: 期刊稿件文章同行评审

摘要

This article investigates stochastic differential games involving multiple attackers, defenders, and a single target, with their interactions defined by a distributed topology. By leveraging principles of topological graph theory, a distributed design strategy is developed that operates without requiring global information, thereby minimizing system coupling. Additionally, this study extends the analysis to incorporate stochastic elements into the target-attackers-defenders games, moving beyond the scope of deterministic differential games. Using the direct method of completing the square and the Radon-Nikodym derivative, we derive optimal distributed control strategies for two scenarios: one where the target follows a predefined trajectory and another where it has free maneuverability. In both scenarios, our research demonstrates the effectiveness of the designed control strategies in driving the system toward a Nash equilibrium. Notably, our algorithm eliminates the need to solve the coupled Hamilton-Jacobi equation, significantly reducing computational complexity. To validate the effectiveness of the proposed control strategies, numerical simulations are presented in this article.

源语言英语
期刊IEEE Transactions on Cybernetics
DOI
出版状态已接受/待刊 - 2025

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引用此

Li, G., Wang, J., Liu, F., & Deng, F. (已接受/印刷中). Target-Attackers-Defenders Linear-Quadratic Exponential Stochastic Differential Games With Distributed Control. IEEE Transactions on Cybernetics. https://doi.org/10.1109/TCYB.2024.3508694