22 citations · 109 across the 52 of their papers we have counts for
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Canonical forms for polynomial systems with balanced super-linearizations
M. -A. Belabbas
A system is Koopman super-linearizable if it admits a finite-dimensional embedding as a linear system. Super-linearization is used to leverage methods from linear systems theory to…
Visible and hidden observables in super-linearization
Mohamed-Ali Belabbas
We call a system super-linearizable if it admits finite-dimensional embedding as a linear system -- known as a finite-dimensional Koopman embedding; said otherwise, if its dynamics…
Geometric Characterization of the -property for Step-graphons
Mohamed Ali Belabbas, Xudong Chen
In a recent paper arXiv:2109.08340, we have exhibited a set of conditions that are necessary for the -property to hold for the class of step-graphons. In this paper, we prove th…
The H-property of Line Graphons
Mohamed-Ali Belabbas, Xudong Chen, Tamer Basar
We explore in this paper sufficient conditions for the -property to hold, with a particular focus on the so-called line graphons. A graphon is a symmetric, measurable function f…