61 citations · 117 across the 30 of their papers we have counts for
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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…
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…
On marginal growth rates of matrix products
Jonah Varney, Ian D. Morris
In this article we consider the maximum possible growth rate of sequences of long products of matrices all of which are drawn from some specified compact set which has…
Extremal sequences of polynomial complexity
Kevin G. Hare, Ian D. Morris, Nikita Sidorov
The joint spectral radius of a bounded set of real matrices is defined to be the maximum possible exponential growth rate of products of matrices drawn from that set.…
On a Devil's staircase associated to the joint spectral radii of a family of pairs of matrices
Ian D. Morris, Nikita Sidorov
The joint spectral radius of a finite set of real d x d matrices is defined to be the maximum possible exponential rate of growth of products of matrices drawn from that set. In pr…
An explicit counterexample to the Lagarias-Wang finiteness conjecture
Kevin G. Hare, Ian D. Morris, Nikita Sidorov +1
The joint spectral radius of a finite set of real matrices is defined to be the maximum possible exponential rate of growth of long products of matrices drawn from tha…