Finite-Time Stability for Nonlinear Fractional Differential Equations with Time Delay

O175.13; The finite-time stability and the finite-time contractive stability of solutions for nonlinear fractional differential equations with bounded delay are investigated. The derivative of Lyapunov function along solutions of the considered system is defined in terms of the Caputo fractional Din...

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Bibliographic Details
Published in东华大学学报（英文版） Vol. 39; no. 5; pp. 446 - 453
Main Authors HE Huazhen, KOU Chunhai
Format Journal Article
LanguageEnglish
Published College of Science,Donghua University,Shanghai 201620,China 2022
Subjects
Caputo fractional Dini derivative
finite-time stability
nonlinear fractional differential equation
time delay
Lyapunov-Razumikhin method
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Summary:O175.13; The finite-time stability and the finite-time contractive stability of solutions for nonlinear fractional differential equations with bounded delay are investigated. The derivative of Lyapunov function along solutions of the considered system is defined in terms of the Caputo fractional Dini derivative. Based on the Lyapunov-Razumikhin method, several sufficient criteria are established to guarantee the finite-time stability and the finite-time contractive stability of solutions for the related systems. An example is provided to illustrate the effectiveness of the obtained results.
ISSN:1672-5220
DOI:10.19884/j.1672-5220.202106003