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20192026
most citedLipschitz Bounded Equilibrium Networks

24 citations · 71 across the 30 of their papers we have counts for

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16 papers · 1 filter

eess.SY2026

Robustly Invertible Nonlinear Dynamics and the BiLipREN: From Inversion-Based Control to Generative Trajectory Modelling

Yurui Zhang, Ruigang Wang, Ian R. Manchester

This paper proposes a new notion of robust invertibility for nonlinear dynamical systems, and introduces constructive parameterizations of recurrent neural network which are robust…

eess.SY2026

Remarks on Lipschitz-Minimal Interpolation: Generalization Bounds and Neural Network Implementation

Arthur C. B. de Oliveira, Ruigang Wang, Ian R. Manchester +1

This note establishes a theoretical framework for finding (potentially overparameterized) approximations of a function on a compact set with a-priori bounds for the generalization…

eess.SY2025

React to Surprises: Stable-by-Design Neural Feedback Control and the Youla-REN

Nicholas H. Barbara, Ruigang Wang, Alexandre Megretski +1

We study parameterizations of stabilizing nonlinear policies for learning-based control. We propose a structure based on a nonlinear version of the Youla-Kucera parameterization co…

eess.SY2025

Robustly Invertible Nonlinear Dynamics and the BiLipREN: Contracting Neural Models with Contracting Inverses

Yurui Zhang, Ruigang Wang, Ian R. Manchester

We study the invertibility of nonlinear dynamical systems from the perspective of contraction and incremental stability analysis and propose a new invertible recurrent neural model…

eess.SY2025

Negative Imaginary Neural ODEs: Learning to Control Mechanical Systems with Stability Guarantees

Kanghong Shi, Ruigang Wang, Ian R. Manchester

We propose a neural control method to provide guaranteed stabilization for mechanical systems using a novel negative imaginary neural ordinary differential equation (NINODE) contro…

eess.SY2024★ 1 cited

Learning Stable and Passive Neural Differential Equations

Jing Cheng, Ruigang Wang, Ian R. Manchester

In this paper, we introduce a novel class of neural differential equation, which are intrinsically Lyapunov stable, exponentially stable or passive. We take a recently proposed Pol…

eess.SY2023★ 1 cited

Learning Over Contracting and Lipschitz Closed-Loops for Partially-Observed Nonlinear Systems (Extended Version)

Nicholas H. Barbara, Ruigang Wang, Ian R. Manchester

This paper presents a policy parameterization for learning-based control on nonlinear, partially-observed dynamical systems. The parameterization is based on a nonlinear version of…

eess.SY2021

Youla-REN: Learning Nonlinear Feedback Policies with Robust Stability Guarantees

Ruigang Wang, Ian R. Manchester

This paper presents a parameterization of nonlinear controllers for uncertain systems building on a recently developed neural network architecture, called the recurrent equilibrium…

eess.SY2021

Learning over All Stabilizing Nonlinear Controllers for a Partially-Observed Linear System

Ruigang Wang, Nicholas H. Barbara, Max Revay +1

This paper proposes a nonlinear policy architecture for control of partially-observed linear dynamical systems providing built-in closed-loop stability guarantees. The policy is ba…

eess.SY2021

Contraction-Based Methods for Stable Identification and Robust Machine Learning: a Tutorial

Ian R. Manchester, Max Revay, Ruigang Wang

This tutorial paper provides an introduction to recently developed tools for machine learning, especially learning dynamical systems (system identification), with stability and rob…

eess.SY2021

Nonlinear parameter-varying state-feedback design for a gyroscope using virtual control contraction metrics

Ruigang Wang, Patrick J. W. Koelwijn, Ian R. Manchester +1

In this paper, we present a virtual control contraction metric (VCCM) based nonlinear parameter-varying (NPV) approach to design a state-feedback controller for a control moment gy…

eess.SY2020★ 1 cited

On necessary conditions of tracking control for nonlinear systems via contraction analysis

Bowen Yi, Ruigang Wang, Ian R. Manchester

In this paper we address the problem of tracking control of nonlinear systems via contraction analysis. The necessary conditions of the systems which can achieve universal asymptot…

eess.SY2020★ 10 cited

Virtual Control Contraction Metrics: Convex Nonlinear Feedback Design via Behavioral Embedding

Ruigang Wang, Roland Tóth, Patrick J. W. Koelwijn +1

This paper presents a systematic approach to nonlinear state-feedback control design that has three main advantages: (i) it ensures exponential stability and -gain…

eess.SY2019★ 1 cited

Continuous-time Dynamic Realization for Nonlinear Stabilization via Control Contraction Metrics

Ruigang Wang, Ian R. Manchester

Nonlinear stabilization using control contraction metric (CCM) method usually involves an online optimization problem to compute a minimal geodesic (a shortest path) between pair o…

eess.SY2019★ 14 cited

A Comparison of LPV Gain Scheduling and Control Contraction Metrics for Nonlinear Control

Ruigang Wang, Roland Tóth, Ian R. Manchester

Gain-scheduled control based on linear parameter-varying (LPV) models derived from local linearizations is a widespread nonlinear technique for tracking time-varying setpoints. Rec…

eess.SY2019★ 2 cited

Robust Contraction Analysis of Nonlinear Systems via Differential IQC

Ruigang Wang, Ian R. Manchester

We present a new approach to verifying contraction and -gain of uncertain nonlinear systems, extending the well-known method of integral quadratic constraints. The uncertain s…