364 citations · 428 across the 14 of their papers we have counts for
18 papers
Control of the Fluidic Pinball using the Quadratic-Quadratic Regulator
Ali Bouland, Jeff Borggaard
The fluidic pinball presents a significant benchmark for nonlinear flow control, managing the complex interactions of three cylinder wakes. This study addresses the stabilization o…
Energy function approximations for differential algebraic polynomial systems of Stokes-type
Hamza Adjerid, Jeff Borggaard
Energy functions are generalizations of controllability and observability Gramians to nonlinear systems and as such find applications in both nonlinear balanced truncation and feed…
Sum of squares approximations to energy functions
Hamza Adjerid, Jeff Borggaard
Energy functions offer natural extensions of controllability and observability Gramians to nonlinear systems, enabling various applications such as computing reachable sets, optimi…
Nonlinear Balanced Truncation: Part 2 -- Model Reduction on Manifolds
Boris Kramer, Serkan Gugercin, Jeff Borggaard
Nonlinear balanced truncation is a model order reduction technique that reduces the dimension of nonlinear systems in a manner that accounts for either open- or closed-loop observa…
A Statistical Framework for Domain Shape Estimation in Stokes Flows
Jeff Borggaard, Nathan E. Glatt-Holtz, Justin A. Krometis
We develop and implement a Bayesian approach for the estimation of the shape of a two dimensional annular domain enclosing a Stokes flow from sparse and noisy observations of the e…
Scalable Computation of Energy Functions for Nonlinear Balanced Truncation
Boris Kramer, Serkan Gugercin, Jeff Borggaard +1
Nonlinear balanced truncation is a model order reduction technique that reduces the dimension of nonlinear systems in a manner that accounts for either open- or closed-loop observa…
Performance Assessment of Energy-preserving, Adaptive Time-step Variational Integrators
Harsh Sharma, Jeff Borggaard, Mayuresh Patil +1
A fixed time-step variational integrator cannot preserve momentum, energy, and symplectic form simultaneously for nonintegrable systems. This barrier can be overcome by treating ti…
Quantum Distance to Uncontrollability and Quantum Speed Limits
Daniel Burgarth, Jeff Borggaard, Zoltán Zimborás
Distance to Uncontrollability is a crucial concept in classical control theory. Here, we introduce Quantum Distance to Uncontrollability as a measure how close a universal quantum…
On Approximating Polynomial-Quadratic Regulator Problems
Jeff Borggaard, Lizette Zietsman
Feedback control problems involving autonomous polynomial systems are prevalent, yet there are limited algorithms and software for approximating their solution. This paper represen…
The Quadratic-Quadratic Regulator Problem: Approximating feedback controls for quadratic-in-state nonlinear systems
Jeff Borggaard, Lizette Zietsman
Feedback control problems involving autonomous quadratic systems are prevalent, yet there are only a limited number of software tools available for approximating their solution due…
On Bayesian Consistency for Flows Observed Through a Passive Scalar
Jeff Borggaard, Nathan E. Glatt-Holtz, Justin A. Krometis
We consider the statistical inverse problem of estimating a background fluid flow field from the partial, noisy observations of the concentration of a substance pa…
GPU-Accelerated Particle Methods for Evaluation of Sparse Observations for PDE-Constrained Inverse Problems
Jeff Borggaard, Nathan E. Glatt-Holtz, Justin A. Krometis
We consider the inverse problem of estimating parameters of a driven diffusion (e.g., the underlying fluid flow, diffusion coefficient, or source terms) from point measurements of…
Affine Poisson & Non-Poisson trace principles for
Nico Lombardi, Jie Xiao
This note discovers not only an affine non-sharp-Poisson trace inequality but also its sharp-non-Poisson version for a Sobolev function with the fractional antiderivative.
Interpolatory Model Reduction of Parameterized Bilinear Dynamical Systems
Andrea Carracedo Rodriguez, Serkan Gugercin, Jeff Borggaard
Interpolatory projection methods for model reduction of nonparametric linear dynamical systems have been successfully extended to nonparametric bilinear dynamical systems. However,…
Robust Reduced-Order Model Stabilization for Partial Differential Equations Based on Lyapunov Theory and Extremum Seeking with Application to the 3D Boussinesq Equations
Mouhacine Benosman, Jeff Borggaard, Boris Kramer
We present some results on stabilization for reduced-order models (ROMs) of partial differential equations. The stabilization is achieved using Lyapunov theory to design a new clos…
Gradient-Based Estimation of Uncertain Parameters for Elliptic Partial Differential Equations
Jeff Borggaard, Hans-Werner van Wyk
This paper addresses the estimation of uncertain distributed diffusion coefficients in elliptic systems based on noisy measurements of the model output. We formulate the parameter…
Model Reduction for DAEs with an Application to Flow Control
Jeff T. Borggaard, Serkan Gugercin
Direct numerical simulation of dynamical systems is of fundamental importance in studying a wide range of complex physical phenomena. However, the ever-increasing need for accuracy…
Proper Orthogonal Decomposition Closure Models For Turbulent Flows: A Numerical Comparison
Zhu Wang, Imran Akhtar, Jeff Borggaard +1
This paper puts forth two new closure models for the proper orthogonal decomposition reduced-order modeling of structurally dominated turbulent flows: the dynamic subgrid-scale mod…