20 citations · 37 across the 12 of their papers we have counts for
10 papers · 1 filter
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…
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…
On gradient flows initialized near maxima
Mohamed-Ali Belabbas
Let be a closed Riemannian manifold, and let be a smooth function on . We show the following holds generically for the function : for each maximu…
On Structural Rank and Resilience of Sparsity Patterns
Mohamed Ali Belabbas, Xudong Chen, Daniel Zelazo
A sparsity pattern in , for , is a vector subspace of matrices admitting a basis consisting of canonical basis vectors in $\mathbb{R}^{n \times m}…
Gossip over Holonomic Graphs
Xudong Chen, Mohamed-Ali Belabbas, Ji Liu
A gossip process is an iterative process in a multi-agent system where only two neighboring agents communicate at each iteration and update their states. The neighboring condition…
Geometric Heat Flow Method for Legged Locomotion Planning
Yinai Fan, Shenyu Liu, Mohamed-Ali Belabbas
We propose in this paper a motion planning method for legged robot locomotion based on Geometric Heat Flow framework. The motion planning task is challenging due to the hybrid natu…