On totally positive discrete- time systems

Rami Katz, Michael Margaliot*, Emilia Fridman

*Corresponding author for this work

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

Abstract

A matrix is called totally positive (TP) if all its minors are positive. A linear time-varying system is called a totally positive discrete-time system (TPDTS) if the matrix defining its evolution is TP for all time. It was recently shown that this can be used to prove strong asymptotic properties of certain time-varying nonlinear discrete-time systems. However, this requires establishing that a line integrals of the Jacobian of the nonlinear system is TP. We derive several new conditions guaranteeing that the line integral of a matrix is TP and demonstrate how this yields interesting classes of nonlinear systems that are guaranteed to entrain to a periodic excitation.

Original languageEnglish
Title of host publication27th Mediterranean Conference on Control and Automation, MED 2019 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages434-438
Number of pages5
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

Funding

FundersFunder number
United States-Israel Binational Science Foundation
Israel Science Foundation

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