A generalization of linear positive systems

Eyal Weiss, Michael Margaliot

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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.

Original languageEnglish
Title of host publication27th Mediterranean Conference on Control and Automation, MED 2019 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages340-345
Number of pages6
ISBN (Electronic)9781728128030
DOIs
StatePublished - Jul 2019
Event27th Mediterranean Conference on Control and Automation, MED 2019 - Akko, Israel
Duration: 1 Jul 20194 Jul 2019

Publication series

Name27th Mediterranean Conference on Control and Automation, MED 2019 - Proceedings

Conference

Conference27th Mediterranean Conference on Control and Automation, MED 2019
Country/TerritoryIsrael
CityAkko
Period1/07/194/07/19

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