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Abstract.We study linear systems, described by operators A, B, C for which the state space X is a Banach space.We suppose that − A generates a bounded analytic semigroup and give conditions for… (More)

AbstractWe consider the maximal regularity problem for non-autonomous evolution equations
1Each operator
$$A(t)$$A(t) is associated with a sesquilinear form
$${\mathop {{\varvec{\mathfrak… (More)

- Bernhard H. Haak, Peer Chr. Kunstmann
- SIAM J. Control and Optimization
- 2007

We study linear control systems in infinite–dimensional Banach spaces governed by analytic semigroups. For p ∈ [1,∞] and α ∈ R we introduce the notion of L–admissibility of type α for unbounded… (More)

We prove perturbation theorems for sectoriality and R–sectoriality in Banach spaces, which yield results on perturbation of generators of analytic semigroups and on perturbation of maximal… (More)

- Bernhard H. Haak
- 2010

In Ho and Russell (SIAM J Control Optim 21(4):614–640, 1983), and Weiss (Syst Control Lett 10(1): 79–82, 1988), a Carleson measure criterion for admissibility of one-dimensional input elements with… (More)

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 eigenvectors. Conditions… (More)

We investigate Kato's method for parabolic equations with a qua-dratic non-linearity in an abstract form. We extract several properties known from linear systems theory which turn out to be the… (More)

Volterra observations systems with scalar kernels are studied. New sufficient conditions for admissibility of observation operators are developed. The obtained results are applied to time-fractional… (More)

- Jamil Abreu, Bernhard H. Haak, Jan van Neerven
- J. London Math. Society
- 2013

Suppose −A admits a bounded H-calculus of angle less than /2 on a Banach space E which has Pisier’s property (α), let B be a bounded linear operator from a Hilbert space H into the extrapolation… (More)

We consider the observability problem for non-autonomous evolution systems (i.e., the operators governing the system depend on time). We introduce an averaged Hautus condition and prove that for… (More)