@inproceedings{abf30cd51f954d95a805fc7491c67ad2,
title = "Robust stability properties of the v-gap metric for time-varying systems",
abstract = "The stability of uncertain feedback interconnections of causal time-varying linear systems is studied in terms of a recently established generalisation of the v-gap metric. In particular, a number of robustness results from the well-known linear time-invariant theory are extended. The time-varying generalisations include: sufficient conditions for robust stability; a bound on robust performance; and two-sided bounds on the induced norm of the variation in a closed-loop mapping as an open-loop component of the feedback interconnection is perturbed. Underlying assumptions are verified for causal systems that exhibit linear periodically time-varying behaviour. This includes a class of sampled-data systems as a special case. Within the periodic context considered, it can be shown that a robust stability condition is also necessary.",
keywords = "Feedback, periodic systems, robust stability, time-varying systems, v-gap metric",
author = "Khong, {Sei Zhen} and Michael Cantoni and J{\"o}nsson, {Ulf T.}",
year = "2011",
doi = "10.1109/CDC.2011.6161042",
language = "English (US)",
isbn = "9781612848006",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "2028--2033",
booktitle = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011",
note = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 ; Conference date: 12-12-2011 Through 15-12-2011",
}