Generalizing infinitesimal contraction analysis to hybrid systems
Dynamical Systems
2018-04-12 v1
Abstract
Infinitesimal contraction analysis, wherein global asymptotic convergence results are obtained from local dynamical properties, has proven to be a powerful tool for applications in biological, mechanical, and transportation systems. Thus far, the technique has been restricted to systems governed by a single smooth differential or difference equation. We generalize infinitesimal contraction analysis to hybrid systems governed by interacting differential and difference equations. Our theoretical results are illustrated on a series of examples.
Cite
@article{arxiv.1804.04122,
title = {Generalizing infinitesimal contraction analysis to hybrid systems},
author = {Samuel A Burden and Samuel D Coogan},
journal= {arXiv preprint arXiv:1804.04122},
year = {2018}
}