Signal Sets on Time Scales with Application to Hybrid Systems
Systems and Control
2020-11-26 v1 Systems and Control
Abstract
Recently, time scales calculus is developed to unify continuous and discrete analysis. By extending the definition of time scales properly, this paper introduces the concept of a signal set as well as its stability properties in terms of the so-called pseudo distance measure. This leads to more general Lyapunov like conditions to check stability properties of systems with hybrid nature. By way of examples, the proposed framework is used to model hybrid systems with simplicity and flexibility to characterize trajectories in the behavior of hybrid systems.
Cite
@article{arxiv.2011.12558,
title = {Signal Sets on Time Scales with Application to Hybrid Systems},
author = {Ti-Chung Lee and Ying Tan and Iven Mareels},
journal= {arXiv preprint arXiv:2011.12558},
year = {2020}
}
Comments
8 pages, Just submitted to IEEE TAC