This paper reviews the literature on admissibility of control and observation operators for
semigroups, presenting many recent results in this approach to infinite-dimensional systems …

This survey is an introduction to well-posed linear time-invariant (LTI) systems for non-
specialists. We recall the more general concept of a system node, classical and generalized …

We study minimal conditions under which mild solutions of linear evolutionary control
systems are continuous for arbitrary bounded input functions. This question naturally …

Since the seminal work of Russell and Weiss in 1994, resolvent conditions for various
notions of admissibility, observability and controllability, and for various notions of linear …

We introduce Calderón–Zygmund theory for singular stochastic integrals with operator-
valued kernel. In particular, we prove L p-extrapolation results under a Hörmander condition …

To any bounded analytic semigroup on Hilbert space or on $ L^ p $-space, one may
associate natural'square functions'. In this survey paper, we review old and recent results on …

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 …

This paper concerns linear infinite-dimensional systems with unbounded observation
operators. We study the invariance of admissibility for observation operators under some …

Over the past decade, the study of stability theory in integro-differential systems has grown
significantly owing to their relevance in solving physical and engineering problems, such as …

We study a class of integro--differential equation systems in Hilbert spaces which fits the
Gurtin--Pipkin model of heat conduction with memory. Well-posedness of the system state …