On Variation Bounding System Operators

Chaim Roth, Christian Grussler

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

Abstract

Bounding or diminishing the number of sign changes and local extrema in a signal is an intrinsic system property in, e.g., low-pass filtering or the over- and undershooting behaviour in the step-response of controlled systems. This work shows how to verify these properties for the observability/controllability operator of a linear time-invariant system under strict external positivity of a set of compound systems, which relaxes/generalizes the standard external positivity notion. In contrast to earlier work, the presented approach is significantly less dependent on a particular realization. The results are demonstrated by bounding the number of sign changes in an impulse response and, thus, the number of local extrema in the step response.

Original languageEnglish
Title of host publication2024 European Control Conference, ECC 2024
Pages2138-2142
Number of pages5
ISBN (Electronic)9783907144107
DOIs
StatePublished - 2024
Event2024 European Control Conference, ECC 2024 - Stockholm, Sweden
Duration: 25 Jun 202428 Jun 2024

Publication series

Name2024 European Control Conference, ECC 2024

Conference

Conference2024 European Control Conference, ECC 2024
Country/TerritorySweden
CityStockholm
Period25/06/2428/06/24

All Science Journal Classification (ASJC) codes

  • Control and Optimization
  • Modelling and Simulation

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