Event-triggered impulsive control for exponential stabilization of fractional-order differential system

This paper presents a novel event-triggered control strategy for fractional-order systems. The analysis begins with an investigation of the stability of impulsive fractional differential equations using Lyapunov function methods. Based on this framework, impulsive control schemes both with and without delay are designed to be triggered by discrete events. The proposed strategies ensure exponential stability of all system states while rigorously avoiding Zeno behavior. The effectiveness and practical relevance of the approach are demonstrated through numerical simulations applied to chaotic financial systems.