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Finite-Time Stability of Linear Stochastic Fractional-Order Systems With Time Delay

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Date

2021

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Volume Title

Publisher

Springer

Open Access Color

GOLD

Green Open Access

No

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Abstract

This paper focuses on the finite-time stability of linear stochastic fractional-order systems with time delay for alpha is an element of (1/2, 1). Under the generalized Gronwall inequality and stochastic analysis techniques, the finite-time stability of the solution for linear stochastic fractional-order systems with time delay is investigated. We give two illustrative examples to show the interest of the main results.

Description

Rhaima, Mohamed/0000-0002-2400-9275; Mchiri, Lassaad/0000-0001-8306-201X; Ben Makhlouf, Abdellatif/0000-0001-7142-7026

Keywords

Generalized Gronwall Inequality, Caputo Derivative, Economics, Fractional Order Control, Fractional ordinary differential equations, Theory and Applications of Fractional Differential Equations, Generalized Gronwall inequality, Caputo derivative, Engineering, Fractional derivatives and integrals, Finite-time stability, Machine learning, QA1-939, generalized Gronwall inequality, FOS: Mathematics, Stability (learning theory), Anomalous Diffusion Modeling and Analysis, Order (exchange), Analysis and Design of Fractional Order Control Systems, Time-Fractional Diffusion Equation, Applied Mathematics, Applied mathematics, Computer science, Algorithm, Stability Analysis, Control and Systems Engineering, Modeling and Simulation, Physical Sciences, Mathematics, Finance

Fields of Science

0209 industrial biotechnology, 02 engineering and technology

Citation

Mchiri, Lassaad...et al. (2021). "Finite-time stability of linear stochastic fractional-order systems with time delay", Advances in Difference Equations, Vol. 2021, No. 1.

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Q1

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OpenCitations Citation Count
16

Source

Advances in Difference Equations

Volume

2021

Issue

1

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Scopus : 16

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Mendeley Readers : 2

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