NEW FINITE-TIME STABILITY ANALYSIS OF STOCHASTIC FRACTIONAL-ORDER TIME-DELAY SYSTEMS

Abdellatif Ben Makhlouf; Lassaad Mchiri; Hassen Arfaoui; Hafedh Rguigui

doi:10.1216/rmj.2023.53.1011

Abstract

We investigate the finite-time stability of stochastic linear fractional systems with delay (SLFSD) for $\alpha \in ({1 \over 2},1)$ . By the Banach fixed-point theorem and classical stochastic techniques, the finite-time stability (FTS) of the solution for SLFSD is studied. One example is given to illustrate our theory.

Citation

Download Citation

Abdellatif Ben Makhlouf. Lassaad Mchiri. Hassen Arfaoui. Hafedh Rguigui. "NEW FINITE-TIME STABILITY ANALYSIS OF STOCHASTIC FRACTIONAL-ORDER TIME-DELAY SYSTEMS." Rocky Mountain J. Math. 53 (4) 1011 - 1018, August 2023. https://doi.org/10.1216/rmj.2023.53.1011

Information

Received: 20 May 2022; Revised: 24 August 2022; Accepted: 24 August 2022; Published: August 2023

First available in Project Euclid: 30 August 2023

MathSciNet: MR4634987

Digital Object Identifier: 10.1216/rmj.2023.53.1011

Subjects:

Primary: 93C10

Keywords: finite-time stability , Hadamard fractional derivative , stochastic systems

Abstract

Citation

Information

KEYWORDS/PHRASES

PUBLICATION TITLE:

PUBLICATION YEARS