Time-varying generalisations of the gap and ν-gap metrics induce the same topology in continuous time

Sei Zhen Khong, Michael Cantoni

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

Recent robust stability analysis results for linear time-varying feedback interconnections are based on a time-varying generalisation of the ν-gap metric. The causality of closed-loop mappings is dealt with explicitly, rather than via well-posedness assumptions as is common in the literature. Here, an alternative time-varying gap metric is defined. It is shown that this gives rise to corresponding robust stability results. It is also established that the time-varying gap metric induces the same topology as the generalised ν-gap metric, this being the coarsest under which closed-loop stability and performance are both robust properties.

Original languageEnglish (US)
Title of host publication2013 European Control Conference, ECC 2013
Pages2337-2342
Number of pages6
StatePublished - Dec 1 2013
Event2013 12th European Control Conference, ECC 2013 - Zurich, Switzerland
Duration: Jul 17 2013Jul 19 2013

Publication series

Name2013 European Control Conference, ECC 2013

Other

Other2013 12th European Control Conference, ECC 2013
CountrySwitzerland
CityZurich
Period7/17/137/19/13

Keywords

  • gap metric
  • linear time-varying systems
  • robustness
  • strong graph representations
  • ν-gap metric

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