Finite-Time Stability of Linear Stochastic Fractional-Order Systems With Time Delay
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Date
2021
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
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Publicly Funded
No
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.
WoS Q
Q1
Scopus Q

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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