5 papers
Feedback approaches for set-point stabilization of interacting particle systems
Daniel Jannik Happ, Birgit Jacob, Claudia Totzeck
We explore the problem of asymptotically stabilizing a class of interacting particle systems to a prescribed particle configuration with zero velocity. The class of interacting par…
On the Hautus test for exact observability of normal semigroups
Jannik Daun, Birgit Jacob
Let be an exponentially stable strongly continuous semigroup on a Hilbert space , its generator, the domain of with the norm , and an ad…
Erratum and original of Port-Hamiltonian structure of interacting particle systems and its mean-field limit
Jannik Daun, Daniel Jannik Happ, Birgit Jacob +1
We derive a minimal port-Hamiltonian formulation of a general class of interacting particle systems driven by alignment and potential-based force dynamics which include the Cucker-…
Differential algebraic system nodes
Mehmet Erbay, Birgit Jacob, Timo Reis
Infinite-dimensional differential algebraic equations (short DAEs) with input and output are studied. The concepts of operator nodes and system nodes are extended to systems which…
Integrated Semigroups for abstract differential-algebraic equations
Mehmet Erbay, Birgit Jacob, Timo Reis
We study integrated semigroups for infinite-dimensional differential-algebraic equations (DAEs) admitting a resolvent index. Building on the notion of integrated semigroups for the…