Prolongation and stability of Zeno solutions to hybrid dynamical systems
Dynamical Systems
2016-09-30 v2
Abstract
The paper proposes a framework for the construction of solutions to a hybrid dynamical system that exhibit Zeno behavior. A new approach that enables solution to be prolonged after reaching its Zeno time is developed. It allows for a comprehensive stability analysis and asymptotic behavior characterization of such solutions. The results are applicable to a wide class of hybrid systems and match with practical experience of simulation of real-world phenomena. Moreover they are potentially useful for applications to interconnections of hybrid systems.
Keywords
Cite
@article{arxiv.1507.01382,
title = {Prolongation and stability of Zeno solutions to hybrid dynamical systems},
author = {Sergey Dashkovskiy and Petro Feketa},
journal= {arXiv preprint arXiv:1507.01382},
year = {2016}
}