New criteria for finite-time stability of nonlinear fractional-order delay systems: A Gronwall inequality approach

2018 ◽  
Vol 83 ◽  
pp. 169-175 ◽  
Author(s):  
V.N. Phat ◽  
N.T. Thanh
Keyword(s):  
Fractional Order ◽  
Finite Time ◽  
Gronwall Inequality ◽  
Delay Systems ◽  
Time Stability ◽  
Finite Time Stability ◽  
Grönwall Inequality ◽  
New Criteria

scholarly journals Finite time stability of linear fractional order dynam-ical system with variable delays

2018 ◽  
Vol 7 (2) ◽  
pp. 27
Author(s):  
Jackreece P. C ◽  
Aniaku S. E
Keyword(s):  
Dynamical System ◽  
Fractional Order ◽  
Finite Time ◽  
Gronwall Inequality ◽  
Sufficient Condition ◽  
Variable Delay ◽  
Time Stability ◽  
Finite Time Stability ◽  
Variable Delays ◽  
Grönwall Inequality

In this paper, some sufficient condition ensuring finite time stability are derived for a class of linear fractional order dynamical system with variable delay using generalized Gronwall inequality as well as classical Bellman-Gronwall inequality.

scholarly journals Finite-Time Stability of Solutions for Nonlinear q -Fractional Difference Coupled Delay Systems

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Jingfeng Wang ◽  
Chuanzhi Bai
Keyword(s):  
Finite Time ◽  
Gronwall Inequality ◽  
Delay Systems ◽  
Stability Of Solutions ◽  
Stability Criteria ◽  
Time Stability ◽  
Fractional Difference ◽  
Finite Time Stability ◽  
Grönwall Inequality

In this paper, we investigate and prove a new discrete q -fractional version of the coupled Gronwall inequality. By applying this result, the finite-time stability criteria of solutions for a class of nonlinear q -fractional difference coupled delay systems are obtained. As an application, an example is provided to demonstrate the effectiveness of our result.

scholarly journals Finite-Time Stability of Neutral Fractional Time-Delay Systems via Generalized Gronwalls Inequality

2014 ◽  
Vol 2014 ◽  
pp. 1-4 ◽  
Author(s):  
Pang Denghao ◽  
Jiang Wei
Keyword(s):  
Time Delay ◽  
Finite Time ◽  
Sufficient Conditions ◽  
Gronwall Inequality ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Time Stability ◽  
Finite Time Stability ◽  
Generalized Gronwall Inequality ◽  
Grönwall Inequality

This paper studies the finite-time stability of neutral fractional time-delay systems. With the generalized Gronwall inequality, sufficient conditions of the finite-time stability are obtained for the particular class of neutral fractional time-delay systems.

Finite-time stability of linear fractional-order time-delay systems

2018 ◽  
Vol 29 (1) ◽  
pp. 180-187 ◽  
Author(s):  
Omar Naifar ◽  
A. M. Nagy ◽  
Abdellatif Ben Makhlouf ◽  
Mohamed Kharrat ◽  
Mohamed Ali Hammami
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Finite Time ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Time Stability ◽  
Finite Time Stability
Sign in / Sign up

Export Citation Format

Share Document