[BOOK][B] Semigroup methods for evolution equations on networks

D Mugnolo - 2014 - Springer
In order to become worldly things, that is, deeds and facts and events and patterns of
thoughts or ideas,[action, speech, and thought] must first be seen, heard, and remembered …

Stability and stabilization of infinite-dimensional linear port-Hamiltonian systems

B Augner, B Jacob - arxiv preprint arxiv:1312.4307, 2013 - arxiv.org
Stability and stabilization of linear port-Hamiltonian systems on infinite-dimensional spaces
are investigated. This class is general enough to include models of beams and waves as …

C 0-semigroups for hyperbolic partial differential equations on a one-dimensional spatial domain

B Jacob, K Morris, H Zwart - Journal of evolution equations, 2015 - Springer
Hyperbolic partial differential equations on a one-dimensional spatial domain are studied.
This class of systems includes models of beams and waves as well as the transport equation …

[PDF][PDF] Stabilisation of infinite-dimensional port-Hamiltonian systems via dissipative boundary feedback

B Augner - 2016 - elekpub.bib.uni-wuppertal.de
From the very start of the science of mechanics strings and beams played a crucial role in
the research, starting from the consideration of eg the dynamics of a mass attached to a …

Linear hyperbolic systems on networks: well-posedness and qualitative properties

MK Fijavž, D Mugnolo, S Nicaise - ESAIM: Control, Optimisation …, 2021 - esaim-cocv.org
We study hyperbolic systems of one-dimensional partial differential equations under
general, possibly non-local boundary conditions. A large class of evolution equations, either …

Waves and diffusion on metric graphs with general vertex conditions

KJ Engel, MK Fijavž - arxiv preprint arxiv:1712.03030, 2017 - arxiv.org
We prove well-posedness for very general linear wave-and diffusion equations on compact
or non-compact metric graphs allowing various different conditions in the vertices. More …

Well-posedness and stability of infinite-dimensional linear port-Hamiltonian systems with nonlinear boundary feedback

B Augner - SIAM Journal on Control and Optimization, 2019 - SIAM
Boundary feedback stabilization of linear infinite dimensional port-Hamiltonian systems on
an interval is considered. Generation and stability results already known for linear feedback …

Characterisation for exponential stability of port-hamiltonian systems

S Trostorff, M Waurick - arxiv preprint arxiv:2201.10367, 2022 - arxiv.org
Given an energy-dissipating port-Hamiltonian system, we characterise the exponential
decay of the energy via the model ingredients under mild conditions on the Hamiltonian …

Exact and positive controllability of boundary control systems

KJ Engel, MK FijavŽ - arxiv preprint arxiv:1610.00954, 2016 - arxiv.org
Using the semigroup approach to abstract boundary control problems we characterize the
space of all exactly reachable states. Moreover, we study the situation when the controls of …

A structural observation on port-Hamiltonian systems

RH Picard, S Trostorff, B Watson, M Waurick - SIAM Journal on Control and …, 2023 - SIAM
We study port-Hamiltonian systems on a family of intervals and characterize all boundary
conditions leading to m-accretive realizations of the port-Hamiltonian operator and thus to …