@article{Jiang2022, 
author = {Bangxin Jiang and Yijun Lou and Jianquan Lu},
title = {Input-to-state stability of delayed systems with bounded-delay impulses},
year = {2022},
journal = {Mathematical Modelling and Control},
volume = {2},
number = {2},
pages = {44-54},
keywords = {input-to-state stability, delayed systems, bounded-delay impulses, Halanay-type inequality},
url = {https://www.sciopen.com/article/10.3934/mmc.2022006},
doi = {10.3934/mmc.2022006},
abstract = {This paper considers the input-to-state stability (ISS) of delayed systems with bounded-delay impulses, where the delays in impulses are arbitrarily large but bounded. A novel Halanay-type inequality with delayed impulses and external inputs is proposed to deeply evaluate the effects of delayed impulses on ISS of delayed systems. Then, we obtain some delay-independent ISS criteria for the addressed delayed systems by using Lyapunov method. Particularly, by applying a new analysis technique, the current study enriches the Halanay-type inequalities and further improve the results derived in [1]. Two illustrative examples are presented to validate theoretical results.}
}