Input-to-state Stability of Impulsive Systems with Different Jump Maps
Systems and Control
2016-05-30 v1 Dynamical Systems
Abstract
The paper introduces sufficient conditions for input-to-state stability (ISS) of a class of impulsive systems with jump maps that depend on time. Such systems can naturally represent an interconnection of several impulsive systems with different impulse time sequences. Using a concept of ISS-Lyapunov function for subsystems a small-gain type theorem equipped with a new dwell-time condition to verify ISS of an interconnection has been proven.
Keywords
Cite
@article{arxiv.1605.08632,
title = {Input-to-state Stability of Impulsive Systems with Different Jump Maps},
author = {Sergey Dashkovskiy and Petro Feketa},
journal= {arXiv preprint arXiv:1605.08632},
year = {2016}
}
Comments
6 pages, 1 figure