104 citations · 358 across the 47 of their papers we have counts for
9 papers · 1 filter
Infinite-dimensional linear port-Hamiltonian systems on a one-dimensional spatial domain: An Introduction
Birgit Jacob, Hans Zwart
We provide an introduction to infinite-dimensional port-Hamiltonian systems. As this research field is quite rich, we restrict ourselves to the class of infinite-dimensional linear…
Input-to-state stability for bilinear feedback systems
René Hosfeld, Birgit Jacob, Felix Schwenninger +1
Input-to-state stability estimates with respect to small initial conditions and input functions for infinite-dimensional systems with bilinear feedback are shown. We apply the obta…
Zero Dynamics for Port-Hamiltonian Systems
Birgit Jacob, Kirsten A. Morris, Hans Zwart
The zero dynamics of infinite-dimensional systems can be difficult to characterize. The zero dynamics of boundary control systems are particularly problematic. In this paper the ze…
-admissibility of observation and control operators for hypercontractive semigroups
Birgit Jacob, Jonathan R. Partington, Sandra Pott +1
We prove a Weiss conjecture on -admissibility of control and observation operators for discrete and continuous -hypercontractive semigroups of operators, by representing them…
Asymptotics of Evolution Equations beyond Banach spaces
Birgit Jacob, Sven-Ake Wegner
We study the asymptotics of strongly continuous operator semigroups defined on locally convex spaces in order to develop a stability theory for solutions of evolution equations bey…
Root locii for systems defined on Hilbert spaces
Birgit Jacob, Kirsten Morris
The root locus is an important tool for analysing the stability and time constants of linear finite-dimensional systems as a parameter, often the gain, is varied. However, many sys…