Gap metrics for time-varying linear systems in a continuous-time setting

Sei Zhen Khong, Michael Cantoni

Research output: Contribution to journalArticlepeer-review

6 Citations (SciVal)


A recently proposed time-varying generalisation of Vinnicombe's v-gap is shown to have the properties of a metric on a class of causal linear continuous-time systems that admit normalised strong graph representations. An alternative time-varying gap metric is then defined in more general terms and a corresponding robust stability result is derived for linear feedback interconnections. Finally, it is shown that the time-varying gap and v-gap metrics induce the same topology, this being the coarsest topology under which feedback stability and closed-loop sensitivity are both robust properties. (C) 2014 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)118-126
JournalSystems & Control Letters
Publication statusPublished - 2014

Subject classification (UKÄ)

  • Control Engineering


  • Feedback
  • Linear time-varying systems
  • Robust stability


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