Finite-time stability results for fractional damped dynamical systems with time delays
Articles
Ganesan Arthi
PSGR Krishnammal College for Women
https://orcid.org/0000-0002-6688-4609
Nallasamy Brindha
PSGR Krishnammal College for Women
https://orcid.org/0000-0003-3570-2080
Dumitru Baleanu
Cankaya University
https://orcid.org/0000-0002-0286-7244
Published 2022-03-01
https://doi.org/10.15388/namc.2022.27.25194
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Keywords

damped system
fractional order
finite-time stability
time delay

How to Cite

Arthi G., Brindha N. and Baleanu D. (2022) “Finite-time stability results for fractional damped dynamical systems with time delays”, Nonlinear Analysis: Modelling and Control, 27(2), pp. 221-233. doi: 10.15388/namc.2022.27.25194.

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.

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