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Control barrier functions (CBFs) are a popular tool for safety certification of nonlinear dynamical control systems. Recently, CBFs represented as neural networks have shown great promise due to their expressiveness and applicability to a…

Machine Learning · Computer Science 2026-04-15 Nikolaus Vertovec , Frederik Baymler Mathiesen , Thom Badings , Luca Laurenti , Alessandro Abate

Control barrier functions (CBFs) are important in safety-critical systems and robot control applications. Neural networks have been used to parameterize and synthesize CBFs with bounded control input for complex systems. However, it is…

Robotics · Computer Science 2024-10-23 Hanjiang Hu , Yujie Yang , Tianhao Wei , Changliu Liu

Recent works have shown that interval bound propagation (IBP) can be used to train verifiably robust neural networks. Reseachers observe an intriguing phenomenon on these IBP trained networks: CROWN, a bounding method based on tight linear…

Computer Vision and Pattern Recognition · Computer Science 2021-06-17 Zhaoyang Lyu , Minghao Guo , Tong Wu , Guodong Xu , Kehuan Zhang , Dahua Lin

Learning-based methods for synthesizing controllers have gained popularity due to their high expressiveness and strong empirical performance. However, in safety-critical scenarios such as autonomous driving, robotics, and power systems,…

Systems and Control · Electrical Eng. & Systems 2026-05-27 Haoyu Li , Xiangru Zhong , Hao Cheng , Bin Hu , Huan Zhang

Control Barrier Functions (CBFs) that provide formal safety guarantees have been widely used for safety-critical systems. However, it is non-trivial to design a CBF. Utilizing neural networks as CBFs has shown great success, but it…

Systems and Control · Electrical Eng. & Systems 2023-11-20 Xinyu Wang , Luzia Knoedler , Frederik Baymler Mathiesen , Javier Alonso-Mora

Finding minimum distortion of adversarial examples and thus certifying robustness in neural network classifiers for given data points is known to be a challenging problem. Nevertheless, recently it has been shown to be possible to give a…

Machine Learning · Computer Science 2018-11-05 Huan Zhang , Tsui-Wei Weng , Pin-Yu Chen , Cho-Jui Hsieh , Luca Daniel

Training neural networks with verifiable robustness guarantees is challenging. Several existing approaches utilize linear relaxation based neural network output bounds under perturbation, but they can slow down training by a factor of…

Machine Learning · Computer Science 2019-11-28 Huan Zhang , Hongge Chen , Chaowei Xiao , Sven Gowal , Robert Stanforth , Bo Li , Duane Boning , Cho-Jui Hsieh

Among the promising approaches to enforce safety in control systems, learning Control Barrier Functions (CBFs) from expert demonstrations has emerged as an effective strategy. However, a critical challenge remains: verifying that the…

Robotics · Computer Science 2025-07-22 Sumeadh MS , Kevin Dsouza , Ravi Prakash

Control Barrier Functions (CBFs) are a popular approach for safe control of nonlinear systems. In CBF-based control, the desired safety properties of the system are mapped to nonnegativity of a CBF, and the control input is chosen to ensure…

Machine Learning · Computer Science 2023-10-17 Hongchao Zhang , Junlin Wu , Yevgeniy Vorobeychik , Andrew Clark

Control Barrier Functions (CBFs) are a practical approach for designing safety-critical controllers, but constructing them for arbitrary nonlinear dynamical systems remains a challenge. Recent efforts have explored learning-based methods,…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Manan Tayal , Aditya Singh , Pushpak Jagtap , Shishir Kolathaya

Bound propagation based incomplete neural network verifiers such as CROWN are very efficient and can significantly accelerate branch-and-bound (BaB) based complete verification of neural networks. However, bound propagation cannot fully…

Machine Learning · Computer Science 2021-11-02 Shiqi Wang , Huan Zhang , Kaidi Xu , Xue Lin , Suman Jana , Cho-Jui Hsieh , J. Zico Kolter

Control Barrier Functions (CBFs) are utilized to ensure the safety of control systems. CBFs act as safety filters in order to provide safety guarantees without compromising system performance. These safety guarantees rely on the…

Systems and Control · Electrical Eng. & Systems 2025-06-30 Hongchao Zhang , Manan Tayal , Jackson Cox , Pushpak Jagtap , Shishir Kolathaya , Andrew Clark

The rapid growth of deep learning applications in real life is accompanied by severe safety concerns. To mitigate this uneasy phenomenon, much research has been done providing reliable evaluations of the fragility level in different deep…

Machine Learning · Computer Science 2019-12-03 Zhaoyang Lyu , Ching-Yun Ko , Zhifeng Kong , Ngai Wong , Dahua Lin , Luca Daniel

Neural network verifiers based on linear bound propagation scale impressively to massive models but can be surprisingly loose when neuron coupling is crucial. Conversely, semidefinite programming (SDP) verifiers capture inter-neuron…

Machine Learning · Computer Science 2025-06-10 Hong-Ming Chiu , Hao Chen , Huan Zhang , Richard Y. Zhang

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

State-of-the-art neural network (NN) verifiers demonstrate that applying the branch-and-bound (BaB) procedure with fast bounding techniques plays a key role in tackling many challenging verification properties. In this work, we introduce…

Machine Learning · Computer Science 2025-12-15 Duo Zhou , Jorge Chavez , Hesun Chen , Grani A. Hanasusanto , Huan Zhang

Control barrier functions (CBFs) have been demonstrated as an effective method for safety-critical control of autonomous systems. Although CBFs are simple to deploy, their design remains challenging, motivating the development of…

Robotics · Computer Science 2026-03-10 Bojan Derajić , Sebastian Bernhard , Wolfgang Hönig

Neural network (NN) controllers achieve strong empirical performance on nonlinear dynamical systems, yet deploying them in safety-critical settings requires robustness to disturbances and uncertainty. We present a method for jointly…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Neelay Junnarkar , Yasin Sonmez , Murat Arcak

Control barrier functions (CBFs) are a powerful tool for the constrained control of nonlinear systems; however, the majority of results in the literature focus on systems subject to a single CBF constraint, making it challenging to…

Systems and Control · Electrical Eng. & Systems 2025-09-05 Max H. Cohen , Eugene Lavretsky , Aaron D. Ames

Neural networks achieve strong empirical performance, but robustness concerns still hinder deployment in safety-critical applications. Formal verification provides robustness guarantees, but current methods face a scalability-completeness…

Machine Learning · Computer Science 2026-02-06 Wenting Li , Saif R. Kazi , Russell Bent , Duo Zhou , Huan Zhang
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