1 citations · 1 across the 2 of their papers we have counts for
5 papers
Mathematical modeling, simulation and optimization via (port-Hamiltonian) differential-algebraic equations
Volker Mehrmann
Differential-algebraic equations (DAEs) present a ubiquitous model class in the automated modeling, simulation, control and optimization of complex finite or infinite dimensional d…
Characterization of stability radii for robustly asymptotically stable dissipative Hamiltonian differential-algebraic systems
Peter Benner, Volker Mehrmann, Anshul Prajapati +1
We study linear time-invariant dissipative Hamiltonian differential-algebraic systems. We characterize when the systems are robustly asymptotically stable and derive exact conditio…
Spectral theory of infinite dimensional dissipative Hamiltonian systems
Christian Mehl, Volker Mehrmann, Michał Wojtylak
The spectral theory for operator pencils and operator differential-algebraic equations is studied. Special focus is laid on singular operator pencils and three different concepts o…
Abstract dissipative Hamiltonian differential-algebraic equations are everywhere
Volker Mehrmann, Hans Zwart
In this paper we study the representation of partial differential equations (PDEs) as abstract differential-algebraic equations (DAEs) with dissipative Hamiltonian structure (adHDA…
Model Reduction for Systems with Inhomogeneous Initial Conditions
Christopher A. Beattie, Serkan Gugercin, Volker Mehrmann
We consider the model reduction problem for linear time-invariant dynamical systems having nonzero (but otherwise indeterminate) initial conditions. Building upon the observation t…