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math.OC2023★ 2 cited
An irreducible linear switching system whose unique Barabanov norm is not strictly convex
Ian D. Morris
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 const…
math.OC2023
A stability dichotomy for discrete-time linear switching systems in dimension two
Ian D. Morris
We prove that for every discrete-time linear switching system in two complex variables and with finitely many switching states, either the system is Lyapunov stable or there exists…