activity
20182023
most citedA Homotopy Method for Motion Planning

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

collaborators

13 papers

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…

eess.SY2022★ 1 cited

Further characterizations of integral input-to-state stability for hybrid systems

Shenyu Liu, Antonio Russo

In this work we present further characterizations of integral input-to-state stability (iISS) for hybrid systems. In particular, the equivalence between 0-input uniform global asym…

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…

eess.SY2022

On Polynomially Solvable Constrained Input Selections for Fixed and Switched Linear Structured Systems

Yuan Zhang, Yuanqing Xia, Shenyu Liu +1

This paper investigates two related optimal input selection problems for fixed (non-switched) and switched structured systems. More precisely, we consider selecting the minimum cos…

eess.SY2021

Unified stability criteria for perturbed LTV systems with unstable instantaneous dynamics

Shenyu Liu

In this work the stability of perturbed linear time-varying systems is studied. The main features of the problem are threefold. Firstly, the time-varying dynamics is not required t…

math.AP2021

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…

eess.SY2021

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…

math.CA2021

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 …

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…

eess.SY2020★ 2 cited

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…

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…

math.DS2018

Almost Lyapunov Functions for Nonlinear Systems

Shenyu Liu, Daniel Liberzon, Vadim Zharnitsky

We study convergence of nonlinear systems in the presence of an `almost Lyapunov' function which, unlike the classical Lyapunov function, is allowed to be nondecreasing---and even…