Year: 2025
Type: article
Abstract: This paper addresses the finite time stability (FTS) of proportional fractional Itô–Doob stochastic systems with time delays. It begins by defining the key concepts and mathematical formulations necessary for understanding these systems. The main contributions include the derivation of sufficient FTS conditions using some mathematical inequalities, which integrates proportional fractional calculus, stochastic analysis, and time‐delay compensation. The paper also presents an example to verify the theoretical bounds. The findings provide a comprehensive perspective on stochastic fractional control, highlighting the importance of addressing time delays and stochasticity in fractional‐order systems.
Source: Asian Journal of Control
DOI: 10.1002/asjc.3679
Author: Foued Mtiri
Institution: King Khalid University
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: bronze
Funder: King Khalid University
OpenAlex ID: W4409467619