
<bib>
<comment>
This file was created by the TYPO3 extension publications
--- Timezone: CEST
Creation date: 2026-04-04
Creation time: 17:04:34
--- Number of references
250
</comment>
<reference>
<bibtype>article</bibtype>
<title>Elliptic operators with non-local Wentzell-Robin boundary conditions</title>
<year>2026</year>
<month>2</month>
<day>5</day>
<DOI>https://doi.org/10.4171/jst/595</DOI>
<journal>Journal of Spectral Theory</journal>
<authors>
<person>
<fn>Markus</fn>
<sn>Kunze</sn>
</person>
<person>
<fn>Jonathan</fn>
<sn>Mui</sn>
</person>
<person>
<fn>David</fn>
<sn>Ploss</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<title>Dissipativity-based time domain decomposition for optimal control of hyperbolic {PDE}s</title>
<status>2</status>
<year>2025</year>
<DOI>10.48550/arXiv.2507.07812</DOI>
<authors>
<person>
<fn>Manuel</fn>
<sn>Schaller</sn>
</person>
<person>
<fn>Merlin</fn>
<sn>Schmitz</sn>
</person>
<person>
<fn>Birgit</fn>
<sn>Jacob</sn>
</person>
<person>
<fn>Bálint</fn>
<sn>Farkas</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<title>Smoothing of operator semigroups under relatively bounded perturbations</title>
<status>2</status>
<year>2025</year>
<DOI>https://doi.org/10.48550/arXiv.2501.18556</DOI>
<authors>
<person>
<fn>Sahiba</fn>
<sn>Arora</sn>
</person>
<person>
<fn>Jonathan</fn>
<sn>Mui</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<title>Index concepts for linear differential-algebraic equations in finite and infinite dimensions</title>
<year>2024</year>
<month>10</month>
<DOI>10.52825/dae-p.v2i.2514</DOI>
<journal>DAE Panel</journal>
<volume>2</volume>
<authors>
<person>
<fn>Mehmet</fn>
<sn>Erbay</sn>
</person>
<person>
<fn>Birgit</fn>
<sn>Jacob</sn>
</person>
<person>
<fn>Kirsten</fn>
<sn>Morris</sn>
</person>
<person>
<fn>Timo</fn>
<sn>Reis</sn>
</person>
<person>
<fn>Caren</fn>
<sn>Tischendorf</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<title>On the Weierstraß form of infinite dimensional differential algebraic equations</title>
<year>2024</year>
<month>9</month>
<DOI>10.1007/s00028-024-01003-3</DOI>
<journal>Journal of Evolution Equations</journal>
<volume>24</volume>
<number>73</number>
<authors>
<person>
<fn>Mehmet</fn>
<sn>Erbay</sn>
</person>
<person>
<fn>Birgit</fn>
<sn>Jacob</sn>
</person>
<person>
<fn>Kirsten</fn>
<sn>Morris</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<title>Non-positivity of the heat equation with non-local Robin boundary conditions</title>
<status>2</status>
<year>2024</year>
<month>4</month>
<DOI>https://doi.org/10.48550/arXiv.2404.15114</DOI>
<authors>
<person>
<fn>Jochen</fn>
<sn>Glück</sn>
</person>
<person>
<fn>Jonathan</fn>
<sn>Mui</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<title>A Note on the Uniform Ergodicity of Dynamical Systems.</title>
<year>2024</year>
<web_url>https://arxiv.org/abs/2402.08482</web_url>
<web_url2>https://arxiv.org/abs/2402.08482</web_url2>
<authors>
<person>
<fn>Julian</fn>
<sn>Hölz</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<title>Computing the Quadratic Numerical Range</title>
<year>2024</year>
<DOI>10.1016/j.cam.2024.116049</DOI>
<journal>Journal of Computational and Applied Mathematics</journal>
<pages>116049</pages>
<web_url>https://arxiv.org/abs/2305.16079</web_url>
<authors>
<person>
<fn>Lukas</fn>
<sn>Vorberg</sn>
</person>
<person>
<fn>Birgit</fn>
<sn>Jacob</sn>
</person>
<person>
<fn>Christian</fn>
<sn>Wyss</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<title>Data-driven adjoint-based calibration of port-Hamiltonian systems in time domain</title>
<year>2024</year>
<DOI>10.1007/s00498-024-00389-2</DOI>
<journal>Math. Control Signals Syst.</journal>
<authors>
<person>
<fn>M.</fn>
<sn>Günther</sn>
</person>
<person>
<fn>Birgit</fn>
<sn>Jacob</sn>
</person>
<person>
<fn>Claudia</fn>
<sn>Totzeck</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<title>Input-to-state stability for bilinear feedback systems</title>
<year>2024</year>
<DOI>10.1137/23M155788X</DOI>
<journal>SIAM Journal on Control and Optimization</journal>
<volume>62</volume>
<pages>1369-1389</pages>
<number>3</number>
<keywords>Analysis of PDEs (math.AP), FOS: Mathematics, FOS: Mathematics, 93D06, 93D25, 93C10, 47J35, 35B35</keywords>
<authors>
<person>
<fn>René</fn>
<sn>Hosfeld</sn>
</person>
<person>
<fn>Birgit</fn>
<sn>Jacob</sn>
</person>
<person>
<fn>Felix</fn>
<sn>Schwenninger</sn>
</person>
<person>
<fn>Marius</fn>
<sn>Tucsnak</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<title>Linear-Quadratic optimal control for boundary controlled networks of waves</title>
<abstract>Linear-Quadratic optimal controls are computed for a class of boundary controlled, boundary observed hyperbolic infinite-dimensional systems, which may be viewed as networks of waves. The main results of this manuscript consist in converting the infinite-dimensional continuous-time systems into infinite-dimensional discrete-time systems for which the operators dynamics are matrices, in solving the LQ-optimal control problem in discrete-time and then in interpreting the solution in the continuous-time variables, giving rise to the optimal boundary control input. The results are applied to two examples, a small network of three vibrating strings and a co-current heat-exchanger, for which boundary sensors and actuators are considered.</abstract>
<status>2</status>
<year>2024</year>
<DOI>10.48550/arXiv.2402.13706</DOI>
<web_url>https://arxiv.org/abs/2402.13706</web_url>
<authors>
<person>
<fn>Anthony</fn>
<sn>Hastir</sn>
</person>
<person>
<fn>Birgit</fn>
<sn>Jacob</sn>
</person>
<person>
<fn>Hans</fn>
<sn>Zwart</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>inbook</bibtype>
<title>Port-Hamiltonian Systems Modelling in Electrical Engineering</title>
<year>2024</year>
<DOI>10.1007/978-3-031-54517-7_15</DOI>
<booktitle>Scientific Computing in Electrical Engineering. SCEE 2022. Mathematics in Industry</booktitle>
<edition>van Beurden, M., Budko, N.V., Ciuprina, G., Schilders, W., Bansal, H., Barbulescu, R.</edition>
<volume>43</volume>
<publisher>Springer, Cham.</publisher>
<authors>
<person>
<fn>A.</fn>
<sn>Bartel</sn>
</person>
<person>
<fn>M.</fn>
<sn>Clemens</sn>
</person>
<person>
<fn>M.</fn>
<sn>Günther</sn>
</person>
<person>
<fn>Birgit</fn>
<sn>Jacob</sn>
</person>
<person>
<fn>T.</fn>
<sn>Reis</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<title>Spectral analysis of a class of linear hyperbolic partial differential equations</title>
<abstract>A class of linear hyperbolic partial differential
equations, sometimes called networks of waves, is considered.
For this class of systems, necessary and sufficient conditions are
formulated for the operator dynamics to generate a C_0-group.
This property turns out to be equivalent to the Riesz-spectral
nature of that operator. In that case, its spectrum is computed
explicitly, leading to easily checkable stability conditions. We
apply our results to characterize exponential stability of a co-
current heat exchanger.</abstract>
<year>2024</year>
<DOI>10.1109/LCSYS.2024.3403472</DOI>
<journal>IEEE Control Systems Letters</journal>
<volume>8</volume>
<pages>766-771</pages>
<web_url>https://arxiv.org/abs/2403.00498</web_url>
<authors>
<person>
<fn>Anthony</fn>
<sn>Hastir</sn>
</person>
<person>
<fn>Birgit</fn>
<sn>Jacob</sn>
</person>
<person>
<fn>Hans</fn>
<sn>Zwart</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<title>Stability via closure relations with applications to dissipative and port-Hamiltonian systems</title>
<year>2024</year>
<DOI>10.1007/s00028-024-00992-5</DOI>
<journal>J. Evol. Equ.</journal>
<volume>24</volume>
<pages>Paper No. 62</pages>
<authors>
<person>
<fn>Birgit</fn>
<sn>Jacob</sn>
</person>
<person>
<fn>Jochen</fn>
<sn>Glück</sn>
</person>
<person>
<fn>Annika</fn>
<sn>Meyer</sn>
</person>
<person>
<fn>Christian</fn>
<sn>Wyss</sn>
</person>
<person>
<fn>Hans</fn>
<sn>Zwart</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>inbook</bibtype>
<title>Structure-preserving identification of port-Hamiltonian systems - a sensitivity-based approach</title>
<year>2024</year>
<DOI>10.1007/978-3-031-54517-7_19</DOI>
<booktitle>Scientific Computing in Electrical Engineering. SCEE 2022. Mathematics in Industry</booktitle>
<edition>van Beurden, M., Budko, N.V., Ciuprina, G., Schilders, W., Bansal, H., Barbulescu, R.</edition>
<volume>43</volume>
<publisher>Springer, Cham.</publisher>
<authors>
<person>
<fn>M.</fn>
<sn>Günther</sn>
</person>
<person>
<fn>Birgit</fn>
<sn>Jacob</sn>
</person>
<person>
<fn>Claudia</fn>
<sn>Totzeck</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<title>The difference between port-Hamiltonian, passive and positive real descriptor systems</title>
<year>2023</year>
<month>12</month>
<DOI>10.1007/s00498-023-00373-2</DOI>
<journal>Mathematics of Control, Signals, and Systems</journal>
<authors>
<person>
<fn>Hannes</fn>
<sn>Gernandt</sn>
</person>
<person>
<fn>Dorothea</fn>
<sn>Hinsen</sn>
</person>
<person>
<fn>Karim</fn>
<sn>Cherifi</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<title>A Peter-Weyl theorem for compact group bundles and the geometric representation of relatively ergodic compact extensions</title>
<status>2</status>
<year>2023</year>
<web_url2>https://arxiv.org/abs/2302.13630</web_url2>
<authors>
<person>
<fn>Nikolai</fn>
<sn>Edeko</sn>
</person>
<person>
<fn>Asgar</fn>
<sn>Jamneshan</sn>
</person>
<person>
<fn>Henrik</fn>
<sn>Kreidler</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>misc</bibtype>
<citeid>https://doi.org/10.48550/arxiv.2302.09175</citeid>
<title>BIBO stability for funnel control: semilinear internal dynamics with unbounded input and output operators</title>
<status>2</status>
<year>2023</year>
<DOI>10.48550/ARXIV.2302.09175</DOI>
<publisher>arXiv</publisher>
<keywords>BIBO stability
Nonlinear infinite-dimensional systems
Unbounded input and output operators
Funnel control
Analytic semigroups</keywords>
<file_url>https://arxiv.org/abs/2302.09175</file_url>
<authors>
<person>
<fn>Anthony</fn>
<sn>Hastir</sn>
</person>
<person>
<fn>René</fn>
<sn>Hosfeld</sn>
</person>
<person>
<fn>Felix L.</fn>
<sn>Schwenninger</sn>
</person>
<person>
<fn>Alexander A.</fn>
<sn>Wierzba</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<title>Characterization of Orlicz admissibility</title>
<year>2023</year>
<DOI>10.1007/s00233-023-10352-3</DOI>
<journal>Semigroup Forum</journal>
<volume>106</volume>
<pages>633–661</pages>
<authors>
<person>
<fn>René</fn>
<sn>Hosfeld</sn>
</person>
<person>
<fn>Birgit</fn>
<sn>Jacob</sn>
</person>
<person>
<fn>Felix L.</fn>
<sn>Schwenninger</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<title>Corrigendum: Noncoercive Lyapunov functions for input-to-state stability of infinite-dimensional systems</title>
<year>2023</year>
<DOI>10.1137/22M1534559</DOI>
<journal>SIAM J. Control Optim.</journal>
<volume>61</volume>
<pages>723-724</pages>
<number>2</number>
<authors>
<person>
<fn>Birgit</fn>
<sn>Jacob</sn>
</person>
<person>
<fn>Andrii</fn>
<sn>Mironchenko</sn>
</person>
<person>
<fn>Jonathan R.</fn>
<sn>Partington</sn>
</person>
<person>
<fn>Fabian</fn>
<sn>Wirth</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<title>Eventual cone invariance revisited</title>
<year>2023</year>
<DOI>https://doi.org/10.1016/j.laa.2023.06.014</DOI>
<journal>Linear Algebra and its Applications</journal>
<volume>675</volume>
<pages>274 - 293</pages>
<web_url>https://arxiv.org/abs/2303.07809</web_url>
<web_url2>https://arxiv.org/abs/2303.07809</web_url2>
<authors>
<person>
<fn>Jochen</fn>
<sn>Glück</sn>
</person>
<person>
<fn>Julian</fn>
<sn>Hölz</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>report</bibtype>
<title>Infinite-dimensional linear port-Hamiltonian systems on a one-dimensional spatial domain: An Introduction</title>
<year>2023</year>
<DOI>10.48550/arXiv.2308.01822</DOI>
<authors>
<person>
<fn>Birgit</fn>
<sn>Jacob</sn>
</person>
<person>
<fn>Hans</fn>
<sn>Zwart</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<citeid>FaJaSc22</citeid>
<title>On exponential splitting methods for semilinear abstract Cauchy problems</title>
<year>2023</year>
<DOI>10.1007/s00020-023-02735-6</DOI>
<journal>Integral Equations and Operator Theory</journal>
<volume>95</volume>
<pages>Paper No. 15</pages>
<authors>
<person>
<fn>Bálint</fn>
<sn>Farkas</sn>
</person>
<person>
<fn>Birgit</fn>
<sn>Jacob</sn>
</person>
<person>
<fn>Merlin</fn>
<sn>Schmitz</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<title>Operator splitting based dynamic iteration for linear differential-algebraic port-Hamiltonian systems</title>
<year>2023</year>
<DOI>10.1007/s00211-023-01369-5</DOI>
<journal>Numer. Math.</journal>
<volume>155</volume>
<pages>1-34</pages>
<number>1-2</number>
<authors>
<person>
<fn>A.</fn>
<sn>Bartel</sn>
</person>
<person>
<fn>M.</fn>
<sn>Günther</sn>
</person>
<person>
<fn>Birgit</fn>
<sn>Jacob</sn>
</person>
<person>
<fn>T.</fn>
<sn>Reis</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<title>Operator splitting based dynamic iteration for linear infinite-dimensional port-Hamiltonian systems</title>
<status>2</status>
<year>2023</year>
<DOI>10.48550/arXiv.2302.01195</DOI>
<keywords>operator splitting
dynamic iteration
system nodes
infinite-dimensional linear systems</keywords>
<authors>
<person>
<fn>Bálint</fn>
<sn>Farkas</sn>
</person>
<person>
<fn>Birgit</fn>
<sn>Jacob</sn>
</person>
<person>
<fn>Timo</fn>
<sn>Reis</sn>
</person>
<person>
<fn>Merlin</fn>
<sn>Schmitz</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<title>Port-Hamiltonian structure of interacting particle systems and its mean-field limit</title>
<status>2</status>
<year>2023</year>
<DOI>10.48550/arXiv.2301.06121</DOI>
<authors>
<person>
<fn>Birgit</fn>
<sn>Jacob</sn>
</person>
<person>
<fn>Claudia</fn>
<sn>Totzeck</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<title>Robustness of Flat Bands on the Perturbed Kagome and the Perturbed Super-Kagome Lattice</title>
<year>2023</year>
<reviewed>1</reviewed>
<DOI>10.1007/s00023-023-01399-7</DOI>
<journal>Annales Henri Poincare</journal>
<pages>19</pages>
<authors>
<person>
<fn>Jens</fn>
<sn>Wintermayr</sn>
</person>
<person>
<fn>Joachim</fn>
<sn>Kerner</sn>
</person>
<person>
<fn>Matthias</fn>
<sn>Täufer</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<title>Spectral properties of locally eventually positive operator semigroups</title>
<year>2023</year>
<DOI>10.1007/s00233-023-10347-0</DOI>
<journal>Semigroup Forum</journal>
<volume>106</volume>
<pages>460-480</pages>
<authors>
<person>
<fn>Jonathan</fn>
<sn>Mui</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<title>Ultra Feller operators from a functional analytic perspective</title>
<status>2</status>
<year>2023</year>
<web_url>https://arxiv.org/abs/2312.13266</web_url>
<web_url2>https://arxiv.org/abs/2312.13266</web_url2>
<authors>
<person>
<fn>Alexander</fn>
<sn>Dobrick</sn>
</person>
<person>
<fn>Julian</fn>
<sn>Hölz</sn>
</person>
<person>
<fn>Markus</fn>
<sn>Kunze</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<title>Uniform convergence of solutions to stochastic hybrid models of gene regulatory networks</title>
<status>2</status>
<year>2023</year>
<web_url>https://arxiv.org/abs/2305.07435</web_url>
<web_url2>https://arxiv.org/abs/2305.07435</web_url2>
<authors>
<person>
<fn>Alexander</fn>
<sn>Dobrick</sn>
</person>
<person>
<fn>Julian</fn>
<sn>Hölz</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<citeid>AroraGlueckPreprintIndMax</citeid>
<title>A characterization of the individual maximum and anti-maximum principle</title>
<year>2022</year>
<web_url>https://arxiv.org/abs/2204.00146</web_url>
<web_url2>https://arxiv.org/abs/2204.00146</web_url2>
<authors>
<person>
<fn>Sahiba</fn>
<sn>Arora</sn>
</person>
<person>
<fn>Jochen</fn>
<sn>Glück</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<citeid>EdKrNa2021</citeid>
<title>A dynamical proof of the van der Corput inequality</title>
<year>2022</year>
<DOI>10.1080/14689367.2022.2100244</DOI>
<journal>Dynamical Systems</journal>
<volume>37</volume>
<pages>648-665</pages>
<web_url2>https://arxiv.org/abs/2106.11835</web_url2>
<authors>
<person>
<fn>Nikolai</fn>
<sn>Edeko</sn>
</person>
<person>
<fn>Henrik</fn>
<sn>Kreidler</sn>
</person>
<person>
<fn>Rainer</fn>
<sn>Nagel</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<citeid>HeKr2022</citeid>
<title>A Halmos-von Neumann theorem for actions of general groups</title>
<status>2</status>
<year>2022</year>
<web_url2>https://arxiv.org/abs/2204.07093</web_url2>
<authors>
<person>
<fn>Patrick</fn>
<sn>Hermle</sn>
</person>
<person>
<fn>Henrik</fn>
<sn>Kreidler</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<citeid>BuddeDobrickGlueckKunzePreprintMonotoneConvergence</citeid>
<title>A monotone convergence theorem for strong Feller semigroups</title>
<year>2022</year>
<web_url>https://arxiv.org/abs/2204.02305</web_url>
<web_url2>https://arxiv.org/abs/2204.02305</web_url2>
<authors>
<person>
<fn>Christian</fn>
<sn>Budde</sn>
</person>
<person>
<fn>Alexander</fn>
<sn>Dobrick</sn>
</person>
<person>
<fn>Jochen</fn>
<sn>Glück</sn>
</person>
<person>
<fn>Markus</fn>
<sn>Kunze</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<citeid>Glueck2022PAMS</citeid>
<title>A note on the spectrum of irreducible operators and semigroups</title>
<year>2022</year>
<DOI>10.1090/proc/15651</DOI>
<journal>Proc. Amer. Math. Soc.</journal>
<volume>150</volume>
<pages>257--266</pages>
<number>1</number>
<web_url>https://arxiv.org/abs/2102.03772</web_url>
<web_url2>https://arxiv.org/abs/2102.03772</web_url2>
<authors>
<person>
<fn>Jochen</fn>
<sn>Glück</sn>
</person>
</authors>
</reference>
<reference>
<bibtype>article</bibtype>
<citeid>JEGJ2021</citeid>
<title>A Port-Hamiltonian Formulation of Coupled Heat Transfer</title>
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