In this paper we present Lyapunov based proofs for the well-known Arendt–Batty–Lyubich–Vu Theorem for strongly continuous and discrete semigroups. We also study the spectral properties of the limit isometric groups used in the proofs.
|Number of pages||6|
|Journal||Systems and control letters|
|Publication status||Published - 2013|
- Lyapunov equation
- Strongly continuous semigroup
- Strong stability