AN IRREDUCIBLE LINEAR SWITCHING SYSTEM WHOSE UNIQUE BARABANOV NORM IS NOT STRICTLY CONVEX
arXiv (Cornell University)(2023)
摘要
We construct a marginally stable linear switching system in continuous time, in four dimensions, and with three switching states, which is exponentially stable with respect to constant switching laws and which has a unique Barabanov norm, but such that the Barabanov norm fails to be strictly convex. This resolves a question of Chitour, Gaye, and Mason.
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关键词
linear switching system,Barabanov norm,most-unstable switching law,linear inclusion
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