Strongly unimodal systems

Christian Grussler, Rodolphe Sepulchre

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

Abstract

We investigate the property for an input-output system to map unimodal inputs to unimodal outputs. As a first step, we analyse this property for linear time-invariant (LTI) systems, static nonlinearities, and interconnections of those. In particular, we show how unimodality is closely related to the concepts of positivity, monotonicity, and total positivity.

Original languageEnglish
Title of host publication2019 18th European Control Conference, ECC 2019
Pages3273-3278
Number of pages6
ISBN (Electronic)9783907144008
DOIs
StatePublished - Jun 2019
Externally publishedYes
Event18th European Control Conference, ECC 2019 - Naples, Italy
Duration: 25 Jun 201928 Jun 2019

Publication series

Name2019 18th European Control Conference, ECC 2019

Conference

Conference18th European Control Conference, ECC 2019
Country/TerritoryItaly
CityNaples
Period25/06/1928/06/19

Keywords

  • Damping
  • External positivity
  • Logarithmic concavity
  • Neural networks
  • Positive systems
  • Strong unimodality
  • Total positivity

All Science Journal Classification (ASJC) codes

  • Instrumentation
  • Control and Optimization

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