A Stochastic Maximum Principle for Control Problems Constrained by the Stochastic Navier-Stokes Equations

Peter Benner, Christoph Trautwein

Model Reduction of Linear Multi-Agent Systems by Clustering and Associated $\mathcal{H}_2$- and $\mathcal{H}_\infty$-Error Bounds

Hidde-Jan Jongsma, Petar Mlinarić, Sara Grundel +2

Optimal Distributed and Tangential Boundary Control for the Unsteady Stochastic Stokes Equations

Peter Benner, Christoph Trautwein

Low-Order Control Design using a Reduced-Order Model with a Stability Constraint on the Full-Order Model

Peter Benner, Tim Mitchell, Michael L. Overton

Balanced Truncation Model Order Reduction For Quadratic-Bilinear Control Systems

Peter Benner, Pawan Goyal

An Adaptive Pole-Matching Method for Interpolating Reduced-Order Models

Yao Yue, Lihong Feng, Peter Benner

The paper introduces an adaptive method for building parametric reduced-order models by matching and interpolating the poles of reduced models, using a branch‑and‑bound optimizatio…

On the existence and uniqueness of the solution of a parabolic optimal control problem with uncertain inputs

Peter Benner, Akwum Onwunta, Martin Stoll

Example Setups of Navier-Stokes Equations with Control and Observation: Spatial Discretization and Representation via Linear-quadratic Matrix Coefficients

Maximilian Behr, Peter Benner, Jan Heiland