Stability and Existence of Equilibrium Solutions for Differential Games With Event-Triggered Impulses

• 成果类型: Article
• 署名作者: Huan, Mingchen; Li, Chuandong; Hu, Xiang
• 署名单位: Southwest University - China
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2025.3596662
• 发表日期: 2026
• 关键词: Nash equilibrium; stabilization; MODEL

摘要

In this article, we address a class of differential games where one player utilizes piecewise continuous control strategy, while the other player employs event-triggered impulses. This article considers scenarios where impulses act as control inputs or as disturbances, and the theoretical framework we propose is applicable to both zero-sum and nonzero-sum differential games. By employing discontinuous steady-state Hamilton-Jacobi-Isaacs (HJI) equations and constructing Lyapunov functions, we establish conditions for the existence of equilibrium solutions while concurrently guaranteeing the system's globally asymptotical stability. Furthermore, to simplify computational complexity and enhance the practical applicability of the theoretical results, we utilize the framework of converse differential games, which obviates the need to directly solve the discontinuous steady-state HJI equations. Finally, we validate the feasibility of our approaches by two numerical examples based on real-life problems.