Research reveals finite-time stability in nonlinear impulsive switched systems, indicating the importance of state-dependent and event-triggered control mechanisms.
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.
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Wan et al. (2025) studied this question.
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