On the Strong Invariance Property for Non-Lipschitz Dynamics
Optimization and Control
2007-05-23 v5
Abstract
We provide a new sufficient condition for strong invariance for differential inclusions, under very general conditions on the dynamics, in terms of a Hamiltonian inequality. In lieu of the usual Lipschitzness assumption on the multifunction, we assume a feedback realization condition that can in particular be satisfied for measurable dynamics that are neither upper nor lower semicontinuous.
Cite
@article{arxiv.math/0403180,
title = {On the Strong Invariance Property for Non-Lipschitz Dynamics},
author = {Mikhail Krastanov and Michael Malisoff and Peter Wolenski},
journal= {arXiv preprint arXiv:math/0403180},
year = {2007}
}
Comments
15 pages, 0 figures. For this revision, the authors added a remark about an alternative nonconstructive proof of the main result