[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 …
thoughts or ideas,[action, speech, and thought] must first be seen, heard, and remembered …
Stability and stabilization of infinite-dimensional linear port-Hamiltonian systems
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 …
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
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 …
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 …
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
We study hyperbolic systems of one-dimensional partial differential equations under
general, possibly non-local boundary conditions. A large class of evolution equations, either …
general, possibly non-local boundary conditions. A large class of evolution equations, either …
Waves and diffusion on metric graphs with general vertex conditions
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 …
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 …
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 …
decay of the energy via the model ingredients under mild conditions on the Hamiltonian …
Exact and positive controllability of boundary control systems
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 …
space of all exactly reachable states. Moreover, we study the situation when the controls of …
A structural observation on port-Hamiltonian systems
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 …
conditions leading to m-accretive realizations of the port-Hamiltonian operator and thus to …