@inproceedings{fc89c1e747484c438f89382b377a498d,
title = "A generalization of linear positive systems",
abstract = "The dynamics of linear positive systems maps the positive orthant to itself. Namely, it maps a set of vectors with zero sign variations to itself. Hence, a natural question is: what linear systems map the set of vectors with k sign variations to itself? To address this question we use tools from the theory of cooperative dynamical systems and the theory of totally positive matrices. Our approach yields a generalization of positive linear systems called k-positive linear systems, which reduces to positive systems for k=1. We show an application of this new class of systems to the analysis of invariant sets in nonlinear time-varying dynamical systems.",
author = "Eyal Weiss and Michael Margaliot",
note = "Publisher Copyright: {\textcopyright} 2019 IEEE.; 27th Mediterranean Conference on Control and Automation, MED 2019 ; Conference date: 01-07-2019 Through 04-07-2019",
year = "2019",
month = jul,
doi = "https://doi.org/10.1109/MED.2019.8798547",
language = "الإنجليزيّة",
series = "27th Mediterranean Conference on Control and Automation, MED 2019 - Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "340--345",
booktitle = "27th Mediterranean Conference on Control and Automation, MED 2019 - Proceedings",
address = "الولايات المتّحدة",
}