On vinnicombe metrics and the stability robustness of linear time-varying systems

Wynita M. Griggs, Alexander Lanzon, Brian D.O. Anderson

Research output: Chapter in Book/Report/Conference proceedingConference PaperOther

1 Citation (Scopus)


We present two novel approaches for obtaining stability robustness information about linear time-invariant systems with norm-bounded time-varying output multiplicative perturbations using Vinnicombe metrics. First, a time-varying Vinnicombe metric approximation between a nominal linear time-invariant system and the perturbed linear time-varying system is developed, and we show that a calculable tight upper bound may be placed on the approximation for a subclass of small, periodic output multiplicative errors. Second, we show that a worst-case time-invariant Vinnicombe metric may be used to obtain stability robustness information about the perturbed time-varying system.

Original languageEnglish
Title of host publication2004 5th Asian Control Conference
PublisherIEEE, Institute of Electrical and Electronics Engineers
Number of pages9
ISBN (Print)0780388739
Publication statusPublished - 2004
Externally publishedYes
EventAsian Control Conference 2004 - Melbourne, Australia
Duration: 20 Jul 200423 Jul 2004
Conference number: 5th

Publication series

Name2004 5th Asian Control Conference


ConferenceAsian Control Conference 2004
Abbreviated titleASCC 2004

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