Finite-Time Stability Results for Fractional Damped Dynamical Systems With Time Delays
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Date
2022
Journal Title
Journal ISSN
Volume Title
Publisher
Vilnius Univ, inst Mathematics & informatics
Open Access Color
GOLD
Green Open Access
No
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No
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Abstract
This paper is explored with the stability procedure for linear nonautonomous multiterm fractional damped systems involving time delay. Finite-time stability (FTS) criteria have been developed based on the extended form of Gronwall inequality. Also, the result is deduced to a linear autonomous case. Two examples of applications of stability analysis in numerical formulation are described showing the expertise of theoretical prediction.
Description
Keywords
Damped System, Fractional Order, Finite-Time Stability, Time Delay., Artificial intelligence, Stability theory of functional-differential equations, Control (management), Mathematical analysis, damped system, Engineering, Linear functional-differential equations, Finite-time stability, Numerical Integration Methods for Differential Equations, Machine learning, finite-time stability, FOS: Mathematics, Control theory (sociology), Stability (learning theory), Anomalous Diffusion Modeling and Analysis, QA299.6-433, Numerical Analysis, time delay, Applied mathematics, Computer science, fractional order, Gronwall's inequality, Inequality, Control and Systems Engineering, Modeling and Simulation, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Time-Stepping Schemes, Stability, Analysis, Functional-differential equations with fractional derivatives, Mathematics
Fields of Science
0209 industrial biotechnology, 02 engineering and technology, 01 natural sciences, 0101 mathematics
Citation
Arthi, Ganesan; Brindha, Nallasamy; Baleanu, D. (2022). "Finite-time stability results for fractional damped dynamical systems with time delays", Nonlinear Analysis: Modelling and Control, Vol.27, No.2, pp.221-233.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
2
Source
Nonlinear Analysis: Modelling and Control
Volume
27
Issue
2
Start Page
221
End Page
233
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Citations
Scopus : 7
SCOPUS™ Citations
7
checked on Feb 26, 2026
Web of Science™ Citations
7
checked on Feb 26, 2026
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4
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