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20182023
most citedA Homotopy Method for Motion Planning

4 citations · 12 across the 13 of their papers we have counts for

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5 papers · 1 filter

math.OC2023★ 3 cited

Data-driven mode detection and stabilization of unknown switched linear systems

Jaap Eising, Shenyu Liu, Sonia Martinez +1

This paper considers the stabilization of unknown switched linear systems using data. Instead of a full system model, we have access to a finite number of trajectories of each of t…

math.OC2022

Using data informativity for online stabilization of unknown switched linear systems

Jaap Eising, Shenyu Liu, Sonia Martinez +1

This work studies data-driven switched controller design for discrete-time switched linear systems. Instead of having access to the full system dynamics, an initialization phase is…

math.OC2021

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…

math.OC2019★ 2 cited

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…

math.OC2019★ 4 cited

A Homotopy Method for Motion Planning

Shenyu Liu, Mohamed Ali Belabbas

We propose a novel method for motion planning and illustrate its implementation on several canonical examples. The core novel idea underlying the method is to define a metric for w…