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Volume 2, Issue 1
Finite-Time Stability of Nonlinear Fractional Order Systems with a Constant Delay

Feifei Du & Baoguo Jia

DOI: 10.12150/jnma.2020.1

J. Nonl. Mod. Anal., 2 (2020), pp. 1-13.

Published online: 2021-04

[An open-access article; the PDF is free to any online user.]

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  • Abstract

In this paper, based on the generalized Gronwall inequality and the method of steps, an approach to the finite-time stability of nonlinear fractional order systems with a constant delay is proposed. A sufficient condition for finite-time stability of considered systems is presented. Compared with the finite-time stability criteria in the existing literature, our results are less conservative. Two examples are given to illustrate the effectiveness of the proposed theorem.

  • Keywords

Finite-time stability, Time delay, Generalized Gronwall inequality.

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

mcsjbg@zsu.edu.cn (Baoguo Jia)

  • BibTex
  • RIS
  • TXT
@Article{JNMA-2-1, author = {Du , Feifei and Jia , Baoguo}, title = {Finite-Time Stability of Nonlinear Fractional Order Systems with a Constant Delay}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {2}, number = {1}, pages = {1--13}, abstract = {

In this paper, based on the generalized Gronwall inequality and the method of steps, an approach to the finite-time stability of nonlinear fractional order systems with a constant delay is proposed. A sufficient condition for finite-time stability of considered systems is presented. Compared with the finite-time stability criteria in the existing literature, our results are less conservative. Two examples are given to illustrate the effectiveness of the proposed theorem.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2020.1}, url = {http://global-sci.org/intro/article_detail/jnma/18794.html} }
TY - JOUR T1 - Finite-Time Stability of Nonlinear Fractional Order Systems with a Constant Delay AU - Du , Feifei AU - Jia , Baoguo JO - Journal of Nonlinear Modeling and Analysis VL - 1 SP - 1 EP - 13 PY - 2021 DA - 2021/04 SN - 2 DO - http://doi.org/10.12150/jnma.2020.1 UR - https://global-sci.org/intro/article_detail/jnma/18794.html KW - Finite-time stability, Time delay, Generalized Gronwall inequality. AB -

In this paper, based on the generalized Gronwall inequality and the method of steps, an approach to the finite-time stability of nonlinear fractional order systems with a constant delay is proposed. A sufficient condition for finite-time stability of considered systems is presented. Compared with the finite-time stability criteria in the existing literature, our results are less conservative. Two examples are given to illustrate the effectiveness of the proposed theorem.

Du , Feifei and Jia , Baoguo. (2021). Finite-Time Stability of Nonlinear Fractional Order Systems with a Constant Delay. Journal of Nonlinear Modeling and Analysis. 2 (1). 1-13. doi:10.12150/jnma.2020.1
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