Time-varying generalisations of the gap and ν-gap metrics induce the same topology in continuous time | IEEE Conference Publication | IEEE Xplore

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


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 o...Show More

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.
Date of Conference: 17-19 July 2013
Date Added to IEEE Xplore: 02 December 2013
Electronic ISBN:978-3-033-03962-9
Conference Location: Zurich, Switzerland

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