A generalization of linear positive systems

Eyal Weiss; Michael Margaliot

doi:10.1109/MED.2019.8798547

A generalization of linear positive systems

Eyal Weiss, Michael Margaliot

School of Electrical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-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 language	English
Title of host publication	27th Mediterranean Conference on Control and Automation, MED 2019 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	340-345
Number of pages	6
ISBN (Electronic)	9781728128030
DOIs	https://doi.org/10.1109/MED.2019.8798547
State	Published - Jul 2019
Event	27th Mediterranean Conference on Control and Automation, MED 2019 - Akko, Israel Duration: 1 Jul 2019 → 4 Jul 2019

Publication series

Name	27th Mediterranean Conference on Control and Automation, MED 2019 - Proceedings

Conference

Conference	27th Mediterranean Conference on Control and Automation, MED 2019
Country/Territory	Israel
City	Akko
Period	1/07/19 → 4/07/19

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10.1109/MED.2019.8798547

Cite this

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title = "A generalization of linear positive systems",

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author = "Eyal Weiss and Michael Margaliot",

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Weiss, E & Margaliot, M 2019, A generalization of linear positive systems. in 27th Mediterranean Conference on Control and Automation, MED 2019 - Proceedings., 8798547, 27th Mediterranean Conference on Control and Automation, MED 2019 - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 340-345, 27th Mediterranean Conference on Control and Automation, MED 2019, Akko, Israel, 1/07/19. https://doi.org/10.1109/MED.2019.8798547

A generalization of linear positive systems. / Weiss, Eyal; Margaliot, Michael.

27th Mediterranean Conference on Control and Automation, MED 2019 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2019. p. 340-345 8798547 (27th Mediterranean Conference on Control and Automation, MED 2019 - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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A generalization of linear positive systems

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