12 citations · 40 across the 22 of their papers we have counts for
6 papers · 1 filter
A numerical comparison of solvers for large-scale, continuous-time algebraic Riccati equations and LQR problems
Peter Benner, Zvonimir Bujanović, Patrick Kürschner +1
In this paper, we discuss numerical methods for solving large-scale continuous-time algebraic Riccati equations. These methods have been the focus of intensive research in recent y…
A Stochastic Maximum Principle for Control Problems Constrained by the Stochastic Navier-Stokes Equations
Peter Benner, Christoph Trautwein
We consider the control problem of the stochastic Navier-Stokes equations in multidimensional domains introduced in \cite{ocpc} restricted to noise terms defined by Q-Wiener proces…
On the existence and uniqueness of the solution of a parabolic optimal control problem with uncertain inputs
Peter Benner, Akwum Onwunta, Martin Stoll
In this note, we consider the existence and uniqueness of the solution of a time-dependent optimal control problem constrained by a partial differential equation with uncertain inp…
Optimal Distributed and Tangential Boundary Control for the Unsteady Stochastic Stokes Equations
Peter Benner, Christoph Trautwein
We consider a control problem constrained by the unsteady stochastic Stokes equations with nonhomogeneous boundary conditions in connected and bounded domains. In this paper, contr…
Greedy low-rank algorithm for spatial connectome regression
Patrick Kürschner, Sergey Dolgov, Kameron Decker Harris +1
Recovering brain connectivity from tract tracing data is an important computational problem in the neurosciences. Mesoscopic connectome reconstruction was previously formulated as…
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
We consider low-order controller design for large-scale linear time-invariant dynamical systems with inputs and outputs. Model order reduction is a popular technique, but controlle…