Time-Triggered Impulsive Control for Fractional-Order Chaotic Financial System

Mohsen Dlala; Farida Al Harbi

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Research Article

3 (

); 67-78

Time-Triggered Impulsive Control for Fractional-Order Chaotic Financial System

Mohsen Dlala, Farida Al Harbi

Received: 2024-04-28, Accepted: 2024-05-20, Published: 2024-12-31

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This is an open-access article distributed under the terms of the Creative Commons Attribution-Non Commercial-Share Alike 4.0 License, which allows others to remix, transform, and build upon the work non-commercially, as long as the author is credited and the new creations are licensed under the identical terms.

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This article was originally published by Qassim University and was migrated to Scientific Scholar after the change of Publisher.

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.