@inproceedings{b086b755e65b49cbb51559922e7d6b40,

title = "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 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.",

keywords = "gap metric, linear time-varying systems, robustness, strong graph representations, ν-gap metric",

author = "Khong, {Sei Zhen} and Michael Cantoni",

year = "2013",

month = dec,

day = "1",

language = "English (US)",

isbn = "9783033039629",

series = "2013 European Control Conference, ECC 2013",

pages = "2337--2342",

booktitle = "2013 European Control Conference, ECC 2013",

note = "2013 12th European Control Conference, ECC 2013 ; Conference date: 17-07-2013 Through 19-07-2013",

}