activity
20202026
most citedSafety Verification of Neural Feedback Systems Based on Constrained Zonotopes

18 citations · 49 across the 9 of their papers we have counts for

collaborators

9 papers

math.OC2026

Forward and Backward Reachability Analysis of Closed-loop Recurrent Neural Networks via Hybrid Zonotopes

Yuhao Zhang, Xiangru Xu

Recurrent neural networks (RNNs) are widely employed to model complex dynamical systems due to their hidden-state structure, which inherently captures temporal dependencies. This w…

math.OC2025

Efficient Reachability Analysis for Convolutional Neural Networks Using Hybrid Zonotopes

Yuhao Zhang, Xiangru Xu

Feedforward neural networks are widely used in autonomous systems, particularly for control and perception tasks within the system loop. However, their vulnerability to adversarial…

math.OC2023

Robust Stability of Neural Network Control Systems with Interval Matrix Uncertainties

Yuhao Zhang, Xiangru Xu

Neural networks have become increasingly popular in controller design due to their versatility and efficiency. However, their integration into feedback systems can pose stability c…

math.OC2023★ 1 cited

Hybrid Zonotope-Based Backward Reachability Analysis for Neural Feedback Systems With Nonlinear Plant Models

Hang Zhang, Yuhao Zhang, Xiangru Xu

The increasing prevalence of neural networks in safety-critical control systems underscores the imperative need for rigorous methods to ensure the reliability and safety of these s…

math.OC2023

Backward Reachability Analysis of Neural Feedback Systems Using Hybrid Zonotopes

Yuhao Zhang, Hang Zhang, Xiangru Xu

The proliferation of neural networks in safety-critical applications necessitates the development of effective methods to ensure their safety. This letter presents a novel approach…

math.OC2022★ 15 cited

Reachability Analysis and Safety Verification of Neural Feedback Systems via Hybrid Zonotopes

Yuhao Zhang, Xiangru Xu

Hybrid zonotopes generalize constrained zonotopes by introducing additional binary variables and possess some unique properties that make them convenient to represent nonconvex set…

math.OC2022★ 18 cited

Safety Verification of Neural Feedback Systems Based on Constrained Zonotopes

Yuhao Zhang, Xiangru Xu

Artificial neural networks have recently been utilized in many feedback control systems and introduced new challenges regarding the safety of such systems. This paper considers the…

math.OC2021★ 15 cited

Control Barrier Function Meets Interval Analysis: Safety-Critical Control with Measurement and Actuation Uncertainties

Yuhao Zhang, Sequoyah Walters, Xiangru Xu

This paper presents a framework for designing provably safe feedback controllers for sampled-data control affine systems with measurement and actuation uncertainties. Based on the…

math.OC2020

Finding Matrix Sequences with a High Asymptotic Growth Rate for Linear Constrained Switching Systems

Yuhao Zhang, Xiangru Xu

Linear constrained switching systems are linear switched systems whose switching sequences are constrained by a deterministic finite automaton. This work investigates how to genera…