Differential Games With Event-Triggered Impulses Involving Partial Unmeasurable States

In this article, we investigate a class of differential games with impulsive effects, where Player 1 employs piecewise continuous control, and Player 2 utilizes event-triggered impulses. Exploiting the dual nature of impulsive actions, we develop tailored event-triggering mechanisms (ETMs) for both control inputs and disturbances. To reflect practical limitations, we assume that some system states are unmeasurable. Building on this framework, we establish a critical connection between system stability and the existence of equilibrium solutions. This relationship guarantees the presence of saddle points or Nash equilibria while simultaneously enabling stability analysis. Finally, two numerical examples are provided to demonstrate the validity of our theoretical findings.