Integral input-to-state stability of unbounded bilinear control systems | Mathematics of Control,
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The main purpose of this paper is to use ideas from systems theory to investigate the
concept of maximal L^ p L p-regularity for some perturbed autonomous and non …

We consider linear control systems of the form x ̇ (t)= A x (t)− μ BC x (t) where μ is a positive
real parameter, A is the state operator and generates a linear C 0− semigroup of …

In this chapter we discuss the difficulty of verifying L p-admissibility for p≠ 2—which even
manifests in the presence of a self-adjoint semigroup generator on a Hilbert space—and …

In the context of positive infinite-dimensional linear systems, we systematically study $ L^ p $-
admissible control and observation operators with respect to the limit-cases $ p=\infty $ and …

We extend classical duality results by Weiss on admissible operators to settings where the
dual semigroup lacks strong continuity. This is possible using the sun-dual framework, which …

We introduce the Favard spaces for resolvent families, extending some well-known
theorems for semigroups. Furthermore, we show the relationship between these Favard …

This article studies a class of controlled–observed Volterra integro-differential systems in the
case where the operator of the associated Cauchy problem generates a semigroup on a …

We derive converse Lyapunov theorems for input-to-state stability (ISS) of linear infinite-
dimensional analytic systems. We show that input-to-state stability of a linear system does …

We study the Volterra integro-differential problems of convolution kernel type from two
perspectives: complex inversion formula and the admissibility in the Salamon–Weiss sense …