22 citations · 145 across the 64 of their papers we have counts for
4 papers · 1 filter
Asymptotic Stability of port-Hamiltonian Systems
Marcus Waurick, Hans Zwart
We characterise asymptotic stability of port-Hamiltonian systems by means of matrix conditions using well-known resolvent criteria from -semigroup theory. The idea of proof is…
Homogenisation of Laminated Metamaterials and the Inner Spectrum
Marcus Waurick
We study homogenisation problems for divergence form equations with rapidly sign-changing coefficients. With a focus on problems with piecewise constant, scalar coefficients in a (…
Nonlocal -convergence for topologically nontrivial domains
Marcus Waurick
The notion of nonlocal -convergence is extended to domains with nontrivial topology, that is, domains with non-vanishing harmonic Dirichlet and/or Neumann fields. If the space o…
Characterisation for Exponential Stability of port-Hamiltonian Systems
Sascha Trostorff, Marcus Waurick
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 density…