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

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

Year:    2020

Author:    Feifei Du, Baoguo Jia

Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 1 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 1 : pp. 1–13

Published online:    2020-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    Finite-time stability Time delay Generalized Gronwall inequality.

Author Details

Feifei Du

Baoguo Jia