Abstract
A recently proposed time-varying generalisation of Vinnicombe's ν-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 ν-gap metrics induce the same topology, this being the coarsest topology under which feedback stability and closed-loop sensitivity are both robust properties.
Original language | English (US) |
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Pages (from-to) | 118-126 |
Number of pages | 9 |
Journal | Systems and Control Letters |
Volume | 70 |
DOIs | |
State | Published - Aug 2014 |
Externally published | Yes |
Bibliographical note
Funding Information:This work was supported by the Swedish Research Council through the LCCC Linnaeus centre and the Australian Research Council ( DP130104510 ). This paper was not presented at any IFAC meeting.
Keywords
- Feedback
- Linear time-varying systems
- Robust stability