Xiangru Xu

Efficient Reachability Analysis for Convolutional Neural Networks Using Hybrid Zonotopes
Efficient Reachability Analysis for Convolutional Neural Networks Using Hybrid Zonotopes

This work introduces an efficient approach to compute the reachable sets for convolutional neural networks.

Mar 13, 2025

Robust Stability of Neural Network Control Systems with Interval Matrix Uncertainties
Robust Stability of Neural Network Control Systems with Interval Matrix Uncertainties

This paper addresses the challenge of certifying robust stability in neural network control systems with interval matrix uncertainties.

Mar 5, 2025

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

This work introduces a novel approach to compute the over-approximation of backward reachable sets for neural feedback systems with non-linear plant models and general activation functions.

Sep 5, 2024

Reachability Analysis of Neural Network Control Systems With Tunable Accuracy and Efficiency
Reachability Analysis of Neural Network Control Systems With Tunable Accuracy and Efficiency

This paper introduces a novel tunable hybrid zonotope-based method for computing both forward and backward reachable sets of neural network control systems.

Jun 17, 2024

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

This paper presents novel hybrid zonotope-based methods for the reachability analysis and safety verification of neural feedback systems. Algorithms are proposed to compute the input-output relationship of each layer of a feed-forward neural network, as well as the exact reachable sets of neural feedback systems.

Jul 3, 2023

Backward Reachability Analysis of Neural Feedback Systems Using Hybrid Zonotopes
Backward Reachability Analysis of Neural Feedback Systems Using Hybrid Zonotopes

A novel approach for computing the exact backward reachable sets of neural feedback systems.

Jun 26, 2023

Safety Verification of Neural Feedback Systems Based on Constrained Zonotopes
Safety Verification of Neural Feedback Systems Based on Constrained Zonotopes

A novel set-based method is proposed to compute both exact and over-approximated reachable sets for neural feedback systems.

Jan 10, 2023

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

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

Sep 5, 2022

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

This work investigates how to generate a sequence of matrices with an asymptotic growth rate close to the constrained joint spectral radius (CJSR) for constrained switching systems.

Sep 27, 2020