4 citations · 8 across the 8 of their papers we have counts for
8 papers
A note on extrapolation of compactness
Shenyu Liu, Huoxiong Wu, Dongyong Yang
This note is devoted to the study of Hytönen's extrapolation theorem of compactness on weighted Lebesgue spaces. Two criteria of compactness of linear operators in the two-weight s…
Iterative Algorithms for Assessing Network Resilience Against Structured Perturbations
Shenyu Liu, Sonia Martinez, Jorge Cortes
This paper studies network resilience against structured additive perturbations to its topology. We consider dynamic networks modeled as linear time-invariant systems subject to pe…
Matrix weighted Kolmogorov-Riesz's compactness theorem
Shenyu Liu, Dongyong Yang, Ciqiang Zhuo
In this paper, several versions of the Kolmogorov-Riesz compactness theorem in weighted Lebesgue spaces with matrix weights are obtained. In particular, when the matrix weight …
Geometric Heat Flow Method for Legged Locomotion Planning
Yinai Fan, Shenyu Liu, Mohamed-Ali Belabbas
We propose in this paper a motion planning method for legged robot locomotion based on Geometric Heat Flow framework. The motion planning task is challenging due to the hybrid natu…
Geometric Motion Planning for Affine Control Systems with Indefinite Boundary Conditions and Free Terminal Time
Shenyu Liu, Yinai Fan, Mohamed-Ali Belabbas
The problem of motion planning for affine control systems consists of designing control inputs that drive a system from a well-defined initial to final states in a desired amount o…
The Affine Geometric Heat Flow and Motion Planning for Dynamic Systems
Shenyu Liu, Yinai Fan, Mohamed Ali Belabbas
We present a new method for motion planning for control systems. The method aims to provide a natural computational framework in which a broad class of motion planning problems can…