Switch System with Stable Period Orbit
Dynamical Systems
2021-10-20 v1
Abstract
Stability is a key property of dynamical systems. In some cases, we want to change unstable system into stable one to achieve certain goals in engineering. Here, we present an example of a dimensional switched system that alternates between unstable modes with the same period orbit, but exhibits stability for fast-switching frequencies and converges to the period orbit. Through mathematical analysis, we elucidate the stabilization mechanism and construct a general class of unstable systems that can form stable switched systems. The demonstration of this new system with period orbit provide a new sight in the study of switched system.
Cite
@article{arxiv.2110.09851,
title = {Switch System with Stable Period Orbit},
author = {Yuyi Zhang and Yao Guo},
journal= {arXiv preprint arXiv:2110.09851},
year = {2021}
}