Beginning with a short introduction and a review of Hilbert space
techniques used in the admissibility analysis of dynamical systems,
we will focus on state-delayed systems.
Using the "lifting" method to reformulate the problem, we will firstly
analyse a retarded delay system assuming only contraction property
of the undelayed semigroup. Next, we will turn our attention to problems
where more can be said about the underlying semigroup.
In particular, we will investigate diagonal systems.
This talk will present results of a joint work with Jonathan Partington.
- Functional Analysis Seminar