Finite-Time Stability of Nonlinear Fractional Order Systems with a Constant Delay

Authors

  • Feifei Du Department of Automation, Shanghai Jiao Tong University, Shanghai, Shanghai 200240, China 
  • Baoguo Jia Mathematics and Scientific Computer College, Zhongshan University, Guangzhou 510275, China

DOI:

https://doi.org/10.12150/jnma.2020.1

Keywords:

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

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.

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Published

2024-04-09

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Issue

Vol. 2 No. 1 (2020)

Section

Articles

How to Cite

Finite-Time Stability of Nonlinear Fractional Order Systems with a Constant Delay. (2024). Journal of Nonlinear Modeling and Analysis, 2(1), 1-13. https://doi.org/10.12150/jnma.2020.1