Flow Invariance on Stratified Domains
Optimization and Control
2012-08-24 v1
Abstract
This paper studies conditions for invariance of dynamical systems on stratified do- mains as originally introduced by Bressan and Hong. We establish Hamiltonian conditions for both weak and strong invariance of trajectories on systems with non-Lipschitz data. This is done via the identification of a new multifunction, the essential velocity multifunction. Properties of this multifunction are investigated and used to establish the relevant invariance criteria.
Cite
@article{arxiv.1208.4742,
title = {Flow Invariance on Stratified Domains},
author = {Richard Barnard and Peter Wolenski},
journal= {arXiv preprint arXiv:1208.4742},
year = {2012}
}