101. Finite-time stability of $ q $-fractional damped difference systems with time delay
- Author
-
Chuanzhi Bai and Jingfeng Wang
- Subjects
delay ,q-fractional difference system ,General Mathematics ,q-fractional gronwall inequality ,Stability (probability) ,Nonlinear system ,Gronwall's inequality ,finite-time stability ,QA1-939 ,Applied mathematics ,Uniqueness ,Finite time ,Mathematics - Abstract
In this paper, we investigate and obtain a new discrete $ q $-fractional version of the Gronwall inequality. As applications, we consider the existence and uniqueness of the solution of $ q $-fractional damped difference systems with time delay. Moreover, we formulate the novel sufficient conditions such that the $ q $-fractional damped difference delayed systems is finite time stable. Our result extend the main results of the paper by Abdeljawad et al. [A generalized $ q $-fractional Gronwall inequality and its applications to nonlinear delay $ q $-fractional difference systems, J.Inequal. Appl. 2016,240].
- Published
- 2021