33 citations · 72 across the 8 of their papers we have counts for
6 papers · 1 filter
Stability via closure relations with applications to dissipative and port-Hamiltonian systems
Jochen Glück, Birgit Jacob, Annika Meyer +2
We consider differential operators that can be represented by means of a so-called closure relation in terms of a simpler operator defined on a larger…
Stability radius for infinite-dimensional interconnected systems
Birgit Jacob, Sebastian Möller, Christian Wyss
The stability radius for finitely many interconnected linear exponentially stable well-posed systems with respect to static perturbations is studied. If the output space of each sy…
Dichotomous Hamiltonians and Riccati equations for systems with unbounded control and observation operators
Christian Wyss
The control algebraic Riccati equation is studied for a class of systems with unbounded control and observation operators. Using a dichotomy property of the associated Hamiltonian…
On the Spectral Decomposition of Dichotomous and Bisectorial Operators
Monika Winklmeier, Christian Wyss
For an unbounded operator on a Banach space the existence of invariant subspaces corresponding to its spectrum in the left and right half-plane is proved. The general assumptio…
Hamiltonians with Riesz Bases of Generalised Eigenvectors and Riccati Equations
Christian Wyss
An algebraic Riccati equation for linear operators is studied, which arises in systems theory. For the case that all involved operators are unbounded, the existence of infinitely m…
Riesz Bases for p-Subordinate Perturbations of Normal Operators
Christian Wyss
For p-subordinate perturbations of unbounded normal operators, the change of the spectrum is studied and spectral criteria for the existence of a Riesz basis with parentheses of ro…