- Hacettepe Journal of Mathematics and Statistics
- Vol: 49 Issue: 1
- Finite-time stability of switched systems with delayed arguments and nonlinear perturbations
Finite-time stability of switched systems with delayed arguments and nonlinear perturbations
Authors : Youliang Fu, Naxin Cui, Chenghui Zhang, Tongxing Li
Pages : 162-169
Doi:10.15672/HJMS.2019.669
View : 10 | Download : 3
Publication Date : 2020-02-06
Article Type : Research
Abstract :This paper is concerned with the problem of finite-time stability (FTS) of a class of switched systems with delayed arguments and nonlinear perturbations which are related not only with the current state and the delayed state but also with time $t$. Novel Lyapunov--Krasovskii functions are introduced, and a new finite-time stability criterion is derived by employing the average dwell time (ADT) approach and linear matrix inequality technique. An example is given to illustrate the effectiveness of the proposed method.Keywords : Finite-time stability, Lyapunov–Krasovskii function, nonlinear perturbation, average dwell time