Title: Input-to-state stability of systems with non-instantaneous impulses

Authors: Cheng Liu; Zheng Fang; Jing Chen

Addresses: School of Science, Jiangnan University, Wuxi, 214122, Jiangsu, China ' School of Science, Jiangnan University, Wuxi, 214122, Jiangsu, China ' School of Science, Jiangnan University, Wuxi, 214122, Jiangsu, China

Abstract: In this paper, we investigate the input-to-state stability of systems with non-instantaneous impulses. By using the Lyapunov function with indefinite derivative and the average dwell time condition, we get a sufficient condition for the input-to-state stability of systems with noninstantaneous impulses, then we give an example to show the efficiency of the theoretical result obtained in this paper.

Keywords: impulsive system; non-instantaneous impulse; ISS; input-to-state stability; ADT condition.

DOI: 10.1504/IJMIC.2020.111628

International Journal of Modelling, Identification and Control, 2020 Vol.34 No.3, pp.278 - 283

Received: 17 Feb 2020
Accepted: 18 Mar 2020
Published online: 04 Dec 2020 *

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