Differential Positivity on Compact Sets
Systems and Control
2015-08-19 v1 Dynamical Systems
Abstract
The paper studies differentially positive systems, that is, systems whose linearization along an arbitrary trajectory is positive. We illustrate the use of differential positivity on compact forward invariant sets for the characterization of bistable and periodic behaviors. Geometric conditions for differential positivity are provided. The introduction of compact sets simplifies the use of differential positivity in applications.
Keywords
Cite
@article{arxiv.1508.04232,
title = {Differential Positivity on Compact Sets},
author = {Fulvio Forni},
journal= {arXiv preprint arXiv:1508.04232},
year = {2015}
}
Comments
6 pages, 3 figures