Zobrazeno 1 - 10
of 90
pro vyhledávání: '"Schwenninger, Felix L."'
Autor:
Kruse, Karsten, Schwenninger, Felix L.
We study maximal regularity with respect to continuous functions for strongly continuous semigroups on locally convex spaces as well as its relation to the notion of admissible operators. This extends several results for classical strongly continuous
Externí odkaz:
http://arxiv.org/abs/2408.11437
In this paper we consider BIBO stability of infinite-dimensional linear state-space systems and the related notion of $L^1$-to-$L^1$ input-output stability (abbreviated LILO). We show that in the case of finite-dimensional input and output spaces, bo
Externí odkaz:
http://arxiv.org/abs/2408.06313
Autor:
Arora, Sahiba, Schwenninger, Felix L.
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 is not immediate from the duality of the input and output maps. Th
Externí odkaz:
http://arxiv.org/abs/2408.02150
In this note we discuss the difficulty of verifying $\mathrm{L}^p$-admissibility for $p\neq 2$ -- that even manifests in the presence of a self-adjoint semigroup generator on a Hilbert space -- and survey tests for $\mathrm{L}^p$-admissibility of giv
Externí odkaz:
http://arxiv.org/abs/2404.06250
It is well-known that the Sobolev spaces $W^{k,p}(\mathbb R^d)$ are vector lattices with respect to the pointwise almost everywhere order if $k \in \{0,1\}$, but not if $k \ge 2$. In this note, we consider negative $k$ and show that the span of the p
Externí odkaz:
http://arxiv.org/abs/2404.02116
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 $p=1$, respectively. This requires an in-depth understanding of
Externí odkaz:
http://arxiv.org/abs/2404.01275
Publikováno v:
SIAM J. Control Optim. 62 (2024) 22-41
In this paper we consider BIBO stability of systems described by infinite-dimensional linear state-space representations, filling the so far unattended gap of a formal definition and characterization of BIBO stability in this general case. Furthermor
Externí odkaz:
http://arxiv.org/abs/2303.18148
This note deals with Bounded-Input-Bounded-Output (BIBO) stability for semilinear infinite-dimensional dynamical systems allowing for boundary control and boundary observation. We give sufficient conditions that guarantee BIBO stability based on Lips
Externí odkaz:
http://arxiv.org/abs/2302.09175
Autor:
Schwenninger, Felix L., de Vries, Jens
We prove bounds for a class of unital homomorphisms arising in the study of spectral sets, by involving extremal functions and vectors. These are used to recover three celebrated results on spectral constants by Crouzeix--Palencia, Okubo--Ando and vo
Externí odkaz:
http://arxiv.org/abs/2302.05389
Autor:
Kruse, Karsten, Schwenninger, Felix L.
Publikováno v:
Analysis Mathematica 50 (2024), 235-280
The sun dual space corresponding to a strongly continuous semigroup is a known concept when dealing with dual semigroups, which are in general only weak$^*$-continuous. In this paper we develop a corresponding theory for bi-continuous semigroups unde
Externí odkaz:
http://arxiv.org/abs/2203.12765