Finite time stability for a class of Hadamard fractional Itô–Doob stochastic time‐delayed systems
Year: 2025
Type: article
Abstract: This paper addresses finite time stability for a class of Hadamard fractional Itô–Doob stochastic time‐delayed systems. A novel stability result is derived based on Gronwall‐type inequalities, thereby generalizing the classical integer order case to the fractional domain. In addition, our analysis uniquely integrates stochastic perturbations and time delays, providing a comprehensive framework for systems with both memory and randomness. An illustrative example of a three‐dimensional stochastic system with time delays and fractional dynamics demonstrates the effectiveness of the proposed approach.
Source: Asian Journal of Control
DOI: 10.1002/asjc.3664
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: W4409157822