2 papers
math.OC2013
A characterization of normal forms for control systems
Boumediene Hamzi, Jeroen S. W. Lamb, Debra Lewis
The study of the behavior of solutions of ODEs often benefits from deciding on a convenient choice of coordinates. This choice of coordinates may be used to "simplify" the function…
math.OC2010
Balanced Reduction of Nonlinear Control Systems in Reproducing Kernel Hilbert Space
Jake Bouvrie, Boumediene Hamzi
We introduce a novel data-driven order reduction method for nonlinear control systems, drawing on recent progress in machine learning and statistical dimensionality reduction. The…