2 citations · 5 across the 8 of their papers we have counts for
8 papers · 1 filter
Operator splitting for port-Hamiltonian systems
Andreas Frommer, Michael Günther, Björn Liljegren-Sailer +1
The port-Hamiltonian approach presents an energy-based modeling of dynamical systems with energy-conservative and energy-dissipative parts as well as an interconnection over the so…
Data-driven and low-rank implementations of Balanced Singular Perturbation Approximation
Björn Liljegren-Sailer, Ion Victor Gosea
Balanced Singular Perturbation Approximation (SPA) is a model order reduction method for linear time-invariant systems that guarantees asymptotic stability and for which there exis…
Effective error estimation for model reduction with inhomogeneous initial conditions
Björn Liljegren-Sailer
A priori error bounds have been derived for different balancing-related model reduction methods. The most classical result is a bound for balanced truncation and singular perturbat…
On snapshot-based model reduction under compatibility conditions for a nonlinear flow problem on networks
Björn Liljegren-Sailer, Nicole Marheineke
This paper is on the construction of structure-preserving, online-efficient reduced models for the barotropic Euler equations with a friction term on networks. The nonlinear flow p…
On port-Hamiltonian approximation of a nonlinear flow problem on networks
Björn Liljegren-Sailer, Nicole Marheineke
This paper deals with the systematic development of structure-preserving approximations for a class of nonlinear partial differential equations on networks. The class includes, for…
Stability preserving approximations of a semilinear hyperbolic gas transport model
Herbert Egger, Thomas Kugler, Björn Liljegren-Sailer
We consider the discretization of a semilinear damped wave equation arising, for instance, in the modeling of gas transport in pipeline networks. For time invariant boundary data,…
Input-tailored system-theoretic model order reduction for quadratic-bilinear systems
Björn Liljegren-Sailer, Nicole Marheineke
In this paper we suggest a moment matching method for quadratic-bilinear dynamical systems. Most system-theoretic reduction methods for nonlinear systems rely on multivariate frequ…
On structure-preserving model reduction for damped wave propagation in transport networks
Herbert Egger, Thomas Kugler, Björn Liljegren-Sailer +2
We consider the discretization and subsequent model reduction of a system of partial differential-algebraic equations describing the propagation of pressure waves in a pipeline net…