Converse Lyapunov Theorems for Switched Systems in Banach and Hilbert Spaces
classification
🧮 math.OC
cs.SY
keywords
banachhilbertlyapunovspacesswitchedsystemscommonconditions
read the original abstract
We consider switched systems on Banach and Hilbert spaces governed by strongly continuous one-parameter semigroups of linear evolution operators. We provide necessary and sufficient conditions for their global exponential stability, uniform with respect to the switching signal, in terms of the existence of a Lyapunov function common to all modes.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.