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We present a novel technique for online safety verification of autonomous systems, which performs reachability analysis efficiently for both bounded and unbounded horizons by employing neural barrier certificates. Our approach uses barrier…

Systems and Control · Electrical Eng. & Systems 2024-04-30 Alessandro Abate , Sergiy Bogomolov , Alec Edwards , Kostiantyn Potomkin , Sadegh Soudjani , Paolo Zuliani

Despite their success in massive engineering applications, deep neural networks are vulnerable to various perturbations due to their black-box nature. Recent study has shown that a deep neural network can misclassify the data even if the…

Machine Learning · Computer Science 2021-04-29 Zhuotong Chen , Qianxiao Li , Zheng Zhang

Detecting kinetic vulnerabilities in Cyber-Physical Systems (CPS), vulnerabilities in control code that can precipitate hazardous physical consequences, is a critical challenge. This task is complicated by the need to analyze the intricate…

Cryptography and Security · Computer Science 2026-04-02 Kohei Tsujio , Mohammad Abdullah Al Faruque , Yasser Shoukry

Learning-based approaches for controlling safety-critical systems are rapidly growing in popularity; thus, it is important to assure their performance and safety. Hamilton-Jacobi (HJ) reachability analysis is a popular formal verification…

Robotics · Computer Science 2024-04-11 Albert Lin , Somil Bansal

Machine learning driven image-based controllers allow robotic systems to take intelligent actions based on the visual feedback from their environment. Understanding when these controllers might lead to system safety violations is important…

Robotics · Computer Science 2024-04-11 Kaustav Chakraborty , Somil Bansal

Deep Reinforcement Learning (DRL) has achieved impressive performance in robotics and autonomous systems (RAS). A key challenge to its deployment in real-life operations is the presence of spuriously unsafe DRL policies. Unexplored states…

Robotics · Computer Science 2024-01-31 Yi Dong , Xingyu Zhao , Sen Wang , Xiaowei Huang

Recent developments in autonomous driving and robotics underscore the necessity of safety-critical controllers. Control barrier functions (CBFs) are a popular method for appending safety guarantees to a general control framework, but they…

Robotics · Computer Science 2025-05-21 Matthew Kim , William Sharpless , Hyun Joe Jeong , Sander Tonkens , Somil Bansal , Sylvia Herbert

A shortcoming of existing reachability approaches for nonlinear systems is the poor scalability with the number of continuous state variables. To mitigate this problem we present a simulation-based approach where we first sample a number of…

Systems and Control · Computer Science 2017-09-21 Murat Arcak , John Maidens

Safety constraints of nonlinear control systems are commonly enforced through the use of control barrier functions (CBFs). Uncertainties in the dynamic model can disrupt forward invariance guarantees or cause the state to be restricted to…

Systems and Control · Electrical Eng. & Systems 2025-01-30 Hannah M. Sweatland , Omkar Sudhir Patil , Warren E. Dixon

In this paper, we propose a computationally efficient framework for interval reachability of systems with neural network controllers. Our approach leverages inclusion functions for the open-loop system and the neural network controller to…

Systems and Control · Electrical Eng. & Systems 2024-06-28 Saber Jafarpour , Akash Harapanahalli , Samuel Coogan

We propose a novel Branch-and-Bound method for reachability analysis of neural networks in both open-loop and closed-loop settings. Our idea is to first compute accurate bounds on the Lipschitz constant of the neural network in certain…

Systems and Control · Electrical Eng. & Systems 2023-04-20 Taha Entesari , Sina Sharifi , Mahyar Fazlyab

Recent research has shown that supervised learning can be an effective tool for designing optimal feedback controllers for high-dimensional nonlinear dynamic systems. But the behavior of these neural network (NN) controllers is still not…

Optimization and Control · Mathematics 2022-10-10 Tenavi Nakamura-Zimmerer , Qi Gong , Wei Kang

This work in progress paper introduces robustness verification for autoencoder-based regression neural network (NN) models, following state-of-the-art approaches for robustness verification of image classification NNs. Despite the ongoing…

Machine Learning · Computer Science 2022-07-15 Neelanjana Pal , Taylor T Johnson

In multirotor systems, guaranteeing safety while considering unknown disturbances is essential for robust trajectory planning. The Forward reachable set (FRS), the set of feasible states subject to bounded disturbances, can be utilized to…

Systems and Control · Electrical Eng. & Systems 2023-03-08 Juyeop Han , Han-Lim Choi

One often wishes for the ability to formally analyze large-scale systems---typically, however, one can either formally analyze a rather small system or informally analyze a large-scale system. This work tries to further close this…

Numerical Analysis · Mathematics 2020-08-06 Matthias Althoff

When autonomous vehicles encounter untrained scenarios, ensuring safety hinges on effective safety verification to prevent accidents stemming from unexpected model decisions. Reachability analysis, a method of safety verification, offers…

Systems and Control · Electrical Eng. & Systems 2025-12-05 Lingxiang Fan , Linxuan He , Haoyuan Ji , Shuo Feng

Neural network (NN) dynamics models and control policies achieve strong performance in robotics, but providing sound guarantees under uncertainty remains difficult, especially for closed-loop NN systems. Existing reachability tools provide…

Robotics · Computer Science 2026-05-26 Keyi Shen , Glen Chou

Deep neural networks (DNNs) are widely used in perception systems for safety-critical applications, such as autonomous driving and robotics. However, DNNs remain vulnerable to various safety concerns, including generalization errors,…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Albert Schotschneider , Svetlana Pavlitska , J. Marius Zöllner

Neural networks hold great potential to act as approximate models of nonlinear dynamical systems, with the resulting neural approximations enabling verification and control of such systems. However, in safety-critical contexts, the use of…

Machine Learning · Computer Science 2025-09-30 Frederik Baymler Mathiesen , Nikolaus Vertovec , Francesco Fabiano , Luca Laurenti , Alessandro Abate

The rapid advance of deep reinforcement learning techniques enables the oversight of safety-critical systems through the utilization of Deep Neural Networks (DNNs). This underscores the pressing need to promptly establish certified safety…

Machine Learning · Computer Science 2024-04-03 Dapeng Zhi , Peixin Wang , Si Liu , Luke Ong , Min Zhang
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