Peter Benner

Latest

• Numerical Methods in Control and Optimization of Dynamical Systems
• A low-rank solution method for Riccati equations with indefinite quadratic terms
• A quadratic decoder approach to nonintrusive reduced-order modeling of nonlinear dynamical systems
• Exponential Lag Synchronization of Cohen-Grossberg Neural Networks with Discrete and Distributed Delays on Time Scales
• Frequency-dependent Switching Control for Disturbance Attenuation of Linear Systems
• MaRDIFlow: A Workflow Framework for Documentation and Integration of FAIR Computational Experiments
• Projective lag quasi-synchronization of coupled systems with mixed delays and parameter mismatch: a unified theory
• Space and Chaos-Expansion Galerkin POD Low-order Discretization of PDEs for Uncertainty Quantification
• Data-driven identification of encoding on quadratic-manifolds for high-fidelity dynamical models
• A low-rank solution method for Riccati equations with indefinite quadratic terms
• A quadratic decoder approach to nonintrusive reduced-order modeling of nonlinear dynamical systems
• Convolutional Neural Networks for Very Low-Dimensional LPV Approximations of Incompressible Navier-Stokes Equations
• Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible Flows
• Robust output-feedback stabilization for incompressible flows using low-dimensional H∞-controllers
• Convolutional autoencoders for low-dimensional parameterizations of Navier-Stokes flow
• Tensor-Galerkin POD for Efficient Uncertainty Quantification in PDEs with Multivariate Random Parameters
• Space and Chaos-Expansion Galerkin POD for UQ of PDEs with Random Parameters
• Galerkin trial spaces and Davison-Maki methods for the numerical solution of differential Riccati equations
• Invariant Galerkin Ansatz Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations
• Equivalence of Riccati-Based Robust Controller Design for Index-1 Descriptor Systems and Standard Plants with Feedthrough
• Equivalence of Riccati-based Robust Controller Design for Index-1 Descriptor Systems and Standard Plants with Feedthrough
• Non-intrusive Time Galerkin POD for Optimal Control of a Fixed-Bed Reactor for CO2 Methanation
• PD controllers to solve single-input, index-1 DAE based LQR problems
• Space and Chaos-Expansion Galerkin POD Low-order Discretization of PDEs for Uncertainty Quantification
• Robust Controller versus Numerical Model Uncertainties for Stabilization of Navier-Stokes Equations
• Solution Formulas for Differential Sylvester and Lyapunov Equations
• Exponential Stability and Stabilization of Extended Linearizations via Continuous Updates of Riccati Based Feedback
• Optimal Control of a Stefan Problem Fully Coupled with Navier-Stokes-Equations and Mesh Movement
• Space-Time Galerkin POD with Application in Optimal Control of Semi-linear Parabolic Partial Differential Equations
• Nonlinear feedback stabilization of incompressible flows via updated Riccati-based gains
• Example Setups of Navier- Stokes Equations with Control and Observation: Spatial Discretization and Representation via Linear-quadratic Matrix Coefficients
• Convergence of Approximations to Riccati-based Boundary-feedback Stabilization of Laminar Flows
• Moment-Matching Based Model Reduction for Navier-Stokes Type Quadratic-Bilinear Descriptor Systems
• Robust Stabilization of Laminar Flows in Varying Flow Regimes
• LQG-Balanced Truncation Low-Order Controller for Stabilization of Laminar Flows
• Time-dependent Dirichlet Conditions in Finite Element Discretizations