23 citations · 58 across the 41 of their papers we have counts for
7 papers · 1 filter
Asymptotic Behavior of Conjunctive Boolean Networks Over Weakly Connected Digraphs
Xudong Chen, Zuguang Gao, Tamer Başar
A conjunctive Boolean network (CBN) is a finite state dynamical system, whose variables take values from a binary set, and the value update rule for each variable is a Boolean func…
Controllability of Conjunctive Boolean Networks with Application to Gene Regulation
Zuguang Gao, Xudong Chen, Tamer Başar
A Boolean network is a finite state discrete time dynamical system. At each step, each variable takes a value from a binary set. The value update rule for each variable is a local…
Controlling and Stabilizing a Rigid Formation Using a Few Agents
Xudong Chen, M. -A. Belabbas, Tamer Basar
We show in this paper that a small subset of agents of a formation of n agents in Euclidean space can control the position and orientation of the entire formation. We consider here…
Stability Structures of Conjunctive Boolean Networks
Zuguang Gao, Xudong Chen, Tamer Başar
A Boolean network is a finite dynamical system, whose variables take values from a binary set. The value update rule for each variable is a Boolean function, depending on a selecte…
Voltage Graphs and Cluster Consensus with Point Group Symmetries
Xudong Chen, Mohamed-Ali Belabbas, Tamer Basar
A cluster consensus system is a multi-agent system in which the autonomous agents communicate to form multiple clusters, with each cluster of agents asymptotically converging to th…
Global Stabilization of Triangulated Formations
Xudong Chen, M. -A. Belabbas, Tamer Başar
Formation control deals with the design of decentralized control laws that stabilize mobile, autonomous agents at prescribed distances from each other. We call any configuration of…
Adjacency Criterion For Gradient Flow With Multiple Local Maxima
Xudong Chen
In this paper, we investigate the geometry of a general class of gradient flows with multiple local maxima. we decompose the underlying space into disjoint regions of attraction an…