12 citations · 12 across the 4 of their papers we have counts for
6 papers
Control of Volterra systems with scalar kernels
Bernhard Hermann Haak, Birgit Jacob
Volterra observations systems with scalar kernels are studied. New sufficient conditions for admissibility of observation operators are developed. The obtained results are applied…
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…
On Kato's method for Navier--Stokes Equations
Bernhard H. Haak, Peer-Christian Kunstmann
We investigate Kato's method for parabolic equations with a quadratic non-linearity in an abstract form. We extract several properties known from linear systems theory which turn o…
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…
A stochastic Datko-Pazy theorem
Bernhard Haak, Jan van Neerven, Mark Veraar
Let be a Hilbert space and a Banach space. In this note we present a sufficient condition for an operator to be --radonifying in terms of Riesz sequences in…