85 citations · 302 across the 30 of their papers we have counts for
5 papers · 1 filter
Entropy for practical stabilization
Fritz Colonius, Boumediene Hamzi
For deterministic continuous time nonlinear control systems, epsilon-practical stabilization entropy and practical stabilization entropy are introduced. Here the rate of attraction…
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…
Kernel Methods for the Approximation of Some Key Quantities of Nonlinear Systems
Jake Bouvrie, Boumediene Hamzi
We introduce a data-based approach to estimating key quantities which arise in the study of nonlinear control systems and random nonlinear dynamical systems. Our approach hinges on…
Kernel Methods for the Approximation of Nonlinear Systems
Jake Bouvrie, Boumediene Hamzi
We introduce a data-driven order reduction method for nonlinear control systems, drawing on recent progress in machine learning and statistical dimensionality reduction. The method…
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…