Stability of bimodal planar linear switched systems
Dynamical Systems
2021-09-10 v1
Abstract
We consider bimodal planar switched linear systems and obtain dwell time bounds which guarantee their asymptotic stability. The dwell time bound obtained is a smooth function of the eigenvectors and eigenvalues of the subsystem matrices. An optimal scaling of the eigenvectors is used to strengthen the dwell time bound. A comparison of our bounds with the dwell time bounds in the existing literature is also presented.
Cite
@article{arxiv.2109.04201,
title = {Stability of bimodal planar linear switched systems},
author = {Swapnil Tripathi and Nikita Agarwal},
journal= {arXiv preprint arXiv:2109.04201},
year = {2021}
}