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 - <p style="text-align: justify;">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.</p>