activity
20072023
most citedInfinite-dimensional input-to-state stability and Orlicz spaces

104 citations · 358 across the 47 of their papers we have counts for

collaborators
Showing math.OCShow all

10 papers · 1 filter

math.OC2023

Data-driven adjoint-based calibration of port-Hamiltonian systems in time domain

Michael Günther, Birgit Jacob, Claudia Totzeck

We present a gradient-based identification algorithm to identify the system matrices of a linear port-Hamiltonian system from given input-output time data. Aiming for a direct stru…

math.OC2021

Observability for port-Hamiltonian systems

Birgit Jacob, Hans Zwart

The class of port-Hamiltonian systems incorporates many physical models, such as mechanical systems in the finite-dimensional case and wave and beam equations in the infinite-dimen…

math.OC2020

On Coercivity and the Frequency Domain Condition in Indefinite LQ-Control

Tobias Damm, Birgit Jacob

We introduce a coercivity condition as a time domain analogue of the frequency criterion provided by the famous Kalman-Yakubovich-Popov lemma. For a simple stochastic linear quadra…

math.OC2020

Remarks on input-to-state stability of collocated systems with saturated feedback

Birgit Jacob, Felix L. Schwenninger, Lukas A. Vorberg

We investigate input-to-state stability (ISS) of infinite-dimensional collocated control systems subject to saturated feedback. Here, the unsaturated closed loop is dissipative and…

math.OC2019★ 19 cited

Noncoercive Lyapunov functions for input-to-state stability of infinite-dimensional systems

B. Jacob, A. Mironchenko, J. R. Partington +1

We consider an abstract class of infinite-dimensional dynamical systems with inputs. For this class, the significance of noncoercive Lyapunov functions is analyzed. It is shown tha…

math.OC2019★ 11 cited

On exact controllability of infinite-dimensional linear port-Hamiltonian systems

Birgit Jacob, Julia T. Kaiser

Infinite-dimensional linear port-Hamiltonian systems on a one-dimensional spatial domain with full boundary control and without internal damping are studied. This class of systems…