An irreducible linear switching system whose unique Barabanov norm is not strictly convex
View/ Open
Publisher
Journal
SIAM Journal on Control and Optimization
ISSN
1095-7138
Metadata
Show full item recordAbstract
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.
Authors
Morris, ICollections
- Mathematics [1473]