24 citations · 60 across the 15 of their papers we have counts for
4 papers · 1 filter
The Weiss conjecture and weak norms
Bernhard Hermann Haak
In this note we show that for analytic semigroups the so-called Weiss condition of uniform boundedness of the operators $Re(λ)^\einhalb C(λ+A)^{-1}, \qquad Re(λ)>0$ on the complex…
On the Carleson measure criterion in linear systems theory
Bernhard Hermann Haak
In Ho, Russell, and Weiss, a Carleson measure criterion for admissibility of one-dimensional input elements with respect to diagonal semigroups is given. We extend their results fr…
Admissibility and Controllability of diagonal Volterra equations with scalar inputs
Bernhard H. Haak, Birgit Jacob, Sandra Pott +1
This article studies Volterra evolution equations from the point of view of control theory, in the case that the generator of the underlying semigroup has a Riesz basis of eigenvec…
Weighted Admissibility and Wellposedness of linear systems in Banach spaces
Bernhard H. Haak, Peer Christian Kunstmann
We study linear control systems in infinite--dimensional Banach spaces governed by analytic semigroups. For and $α\in\RR$ we introduce the notion of --admissi…