Strong ISS implies strong iISS for time-varying impulsive systems
Systems and Control
2019-09-04 v1 Systems and Control
Optimization and Control
Abstract
For time-invariant (nonimpulsive) systems, it is already well-known that the input-to-state stability (ISS) property is strictly stronger than integral input-to-state stability (iISS). Very recently, we have shown that under suitable uniform boundedness and continuity assumptions on the function defining system dynamics, ISS implies iISS also for time-varying systems. In this paper, we show that this implication remains true for impulsive systems, provided that asymptotic stability is understood in a sense stronger than usual for impulsive systems.
Keywords
Cite
@article{arxiv.1909.00858,
title = {Strong ISS implies strong iISS for time-varying impulsive systems},
author = {Hernan Haimovich and José L. Mancilla-Aguilar},
journal= {arXiv preprint arXiv:1909.00858},
year = {2019}
}
Comments
Submitted to Automatica