Event-triggered Impulsive Control for Fractional-Order Chaotic Financial System

Abstract

The exponential stabilization of fractional-order differential systems is examined through the utilization of event-triggered impulsive control (ETC). The impulsive control strategy is characterized by a triggering mechanism, which relies on the states of the systems. Updates to the controller exclusively occur at impulsive moments. Decreasing the frequency of controller updates leads to a reduction in the utilization of communication bandwidth and computational resources. Moreover, the effectiveness of the theoretical findings is demonstrated through a numerical illustration involving simulation on a chaotic fractional-order system within the domain of finance.