23 citations · 58 across the 41 of their papers we have counts for
5 papers · 1 filter
On Integer Balancing of Digraphs
Mohamed-Ali Belabbas, Xudong Chen
A weighted digraph is balanced if the sums of the weights of the incoming and of the outgoing edges are equal at each vertex. We show that if these sums are integers, then the edge…
Triangulated Laman Graphs, Local Stochastic Matrices, and Limits of Their Products
Mohamed Ali Belabbas, Xudong Chen
We derive conditions on the products of stochastic matrices guaranteeing the existence of a unique limit invariant distribution. Belying our approach is the hereby defined notion o…
Scalable Resetting Algorithms for Synchronization of Pulse-Coupled Oscillators over Rooted Directed Graphs
Muhammad U. Javed, Jorge I. Poveda, Xudong Chen
We study the problem of robust global synchronization of pulse-coupled oscillators (PCOs) over directed graphs. It is known that when the digraphs are strongly connected, global sy…
Sparse Linear Ensemble Systems and Structural Controllability
Xudong Chen
The paper introduces and solves a structural controllability problem for continuum ensembles of linear time-invariant systems. All the individual linear systems of an ensemble are…
Controllability Issues of Linear Ensemble Systems over Multi-dimensional Parameterization Spaces
Xudong Chen
We address an open problem in ensemble control: Whether there exist controllable linear ensemble systems over multi-dimensional parameterization spaces? We provide a negative resul…