Finite‐time stability of nonlinear impulsive switched systems under state‐dependent switching and time/event‐triggered impulsive control

Abstract This study advances finite‐time stability (FTS) for nonlinear impulsive switched systems governed by state‐dependent switching (SDS) law, where the impulses can be either time‐triggered or event‐triggered. By developing SDS law with rigorously defined switching regions and a Lyapunov‐based event‐triggered mechanism that excludes Zeno phenomena, we construct a unified framework integrating SDS with time‐triggered or event‐triggered impulsive control mechanism (TTICM or ETICM). We then apply these theorems to a specific system and achieve its FTS. Finally, we provide two numerical examples to demonstrate the validity of our theorems.