Admissibility problem of some classes of state-delayed systems

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.