59 citations · 154 across the 25 of their papers we have counts for
5 papers · 1 filter
-semigroups for hyperbolic partial differential equations on a one-dimensional spatial domain
Birgit Jacob, Kirsten Morris, Hans Zwart
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 equatio…
Linear wave systems on -D spatial domains
Mikael Kurula, Hans Zwart
In this paper we study the linear wave equation on an -dimensional spatial domain. We show that there is a boundary triplet associated to the undamped wave equation. This enable…
Linearization and exponential stability
Hans Zwart
We give sufficient conditions such that the exponential stability of the linearization of a non-linear system implies that the non-linear system is (locally) exponentially stable.…
Feedback theory extended for proving generation of contraction semigroups
Mikael Kurula, Hans Zwart
Recently, the following novel method for proving the existence of solutions for certain linear time-invariant PDEs was introduced: The operator associated to a given PDE is represe…
Zero-two law for cosine families
Felix Schwenninger, Hans Zwart
For being a strongly continuous cosine family on a Banach space, we show that the estimate implies that …