4 papers
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…
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.