3 papers
math.PR2025
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…
math.OC2025
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…
eess.SY2025
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…