6 papers
Feedback Diagonalization and Stabilization for Discrete Linear Ensemble Systems
Jonathan M. Bosnich, Xudong Chen
We consider a countably infinite collection of linear, scalar control systems, where each system is represented by the pair with for , and all…
Hamiltonicity of Step-graphon
Xudong Chen
A step-graphon has the strong (resp., weak) -property if a directed, random graph sampled from it has a Hamilton cycle (resp., a node-wise disjoint cycle cover) asymptotically a…
On Infinite-horizon Minimum Energy Control
Mohamed-Ali Belabbas, Xudong Chen
We address the infinite-horizon minimum energy control problem for linear time-invariant finite-dimensional systems . We show that the problem admits a solution if and only…
On the -property for Step-graphons: The Residual Case
Wanting Gao, Xudong Chen
We investigate the -property for step-graphons. Specifically, we sample graphs on nodes from a step-graphon and evaluate the probability that has a Hamiltonian d…
Pole Placement and Feedback Stabilization for Discrete Linear Ensemble Systems
Xudong Chen
We consider discrete ensembles of linear, scalar control systems with single-inputs. Assuming that all the individual systems are unstable, we investigate whether there exist linea…
Graphons and the -property
Mohamed-Ali Belabbas, Xudong Chen
A graphon satisfies the -property if graphs sampled from it contain a Hamiltonian decomposition almost surely, which in turn implies that the corresponding network topologies ar…