23 citations · 58 across the 41 of their papers we have counts for
42 papers
Integrable Generators of Polynomial Vector Fields for Complex Classical Lie Groups
Yiyang Jiang, Xudong Chen
We consider in this paper complex Lie groups for , for , and for .…
Integrable Generators of Algebraic Vector Fields for Real Connected Semi-simple Matrix Groups
Yiyang Jiang, Xudong Chen
We show that for any real, connected, semi-simple matrix group, its Lie algebra of algebraic vector fields can be generated by three complete vector fields.
Largest -regular Subgraphs in complete -partite Graphs
Yiyang Jiang, Xudong Chen
In this paper, we focus on the class of complete -partite graphs, for an undirected graph possibly with self-loops, and address the problem of finding largest -regular su…
A Sufficient Condition for the Super-linearization of Polynomial Systems
Mohamed-Ali Belabbas, Xudong Chen
We provide in this paper a sufficient condition for a polynomial dynamical system to be super-linearizable, i.e., to be such that all its trajectories are lin…
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…
A Stochastic Binary Vertex-Triggering Resetting Algorithm for Global Synchronization of Pulse-Coupled Oscillators
Muhammad U. Javed, Jorge I. Poveda, Xudong Chen
In this paper, we propose a novel stochastic binary resetting algorithm for networks of pulse-coupled oscillators (or, simply, agents) to reach global synchronization. The algorith…
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 the H-property for step-graphons and edge polytopes
Mohamed-Ali Belabbas, Xudong Chen, Tamer Basar
Graphons can be used as stochastic models to sample graphs on nodes for arbitrarily large. A graphon is said to have the -property if admits a decomp…
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}…
Structural averaged controllability of linear ensemble systems
Bahman Gharesifard, Xudong Chen
In the paper, we introduce and address the problem of structural averaged controllability for linear ensemble systems. We provide examples highlighting the differences between this…
Reputation and Pricing Dynamics in Online Markets
Qian Ma, Jianwei Huang, Tamer Başar +2
We study the economic interactions among sellers and buyers in online markets. In such markets, buyers have limited information about the product quality, but can observe the selle…
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…
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…
Global Synchronization of Clocks in Directed Rooted Acyclic Graphs: A Hybrid Systems Approach
Muhammad U. Javed, Jorge I. Poveda, Xudong Chen
In this paper, we study the problem of robust global synchronization of resetting clocks in multi-agent networked systems, where by robust global synchronization we mean synchroniz…
Ensemble Observability of Bloch Equations with Unknown Population Density
Xudong Chen
We introduce in the paper a novel observability problem for a continuum ensemble of nonholonomic control systems with unknown population density. We address the problem by focussin…
Joint Actuator-sensor Design for Stochastic Linear Systems
Xudong Chen
We investigate the joint actuator-sensor design problem for stochastic linear control systems. Specifically, we address the problem of identifying a pair of sensor and actuator whi…
Controllability of Continuum Ensemble of Formation Systems over Directed Graphs
Xudong Chen
We propose in the paper a novel framework for using a common control input to simultaneously steer an infinite ensemble of networked control systems. We address the problem of co-d…
Structure Theory for Ensemble Controllability, Observability, and Duality
Xudong Chen
Ensemble control deals with the problem of using a finite number of control inputs to simultaneously steer a large population (in the limit, a continuum) of control systems. Dual t…
Distinguished Sets of Semi-simple Lie Algebras
Xudong Chen, Bahman Gharesifard
We call a finite, spanning set of a semi-simple real Lie algebra a distinguished set if it satisfies the following property: The Lie bracket of any two elements out of the set is,…
A Game-Theoretic Framework for Multi-Period-Multi-Company Demand Response Management in the Smart Grid
Khaled Alshehri, Ji Liu, Xudong Chen +1
By utilizing tools from game theory, we develop a novel multi-period-multi-company demand response framework considering the interactions between companies (sellers of energy) and…