Work

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

Year: 2025

Type: article

Abstract: 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.

Source: AIMS Mathematics

DOI: 10.3934/math.2025741

Authors: Mohsen DLALA, Abdelhamid ZAIDI, Farida ALHARBI

Institutions: University of Sfax, Qassim University, University of Carthage, National Institute of Applied Science and Technology

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

Funder: Qassim University