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The increasing prevalence of neural networks (NNs) in safety-critical applications calls for methods to certify their behavior and guarantee safety. This paper presents a backward reachability approach for safety verification of neural…

Systems and Control · Electrical Eng. & Systems 2022-11-22 Nicholas Rober , Michael Everett , Jonathan P. How

Neural Networks (NNs) can provide major empirical performance improvements for closed-loop systems, but they also introduce challenges in formally analyzing those systems' safety properties. In particular, this work focuses on estimating…

Systems and Control · Electrical Eng. & Systems 2022-02-03 Michael Everett , Golnaz Habibi , Chuangchuang Sun , Jonathan P. How

There has been an increasing interest in using neural networks in closed-loop control systems to improve performance and reduce computational costs for on-line implementation. However, providing safety and stability guarantees for these…

Systems and Control · Electrical Eng. & Systems 2020-04-20 Haimin Hu , Mahyar Fazlyab , Manfred Morari , George J. Pappas

Neural Networks (NNs) can provide major empirical performance improvements for robotic systems, but they also introduce challenges in formally analyzing those systems' safety properties. In particular, this work focuses on estimating the…

Systems and Control · Electrical Eng. & Systems 2021-05-26 Michael Everett , Golnaz Habibi , Jonathan P. How

As neural networks become more integrated into the systems that we depend on for transportation, medicine, and security, it becomes increasingly important that we develop methods to analyze their behavior to ensure that they are safe to use…

Systems and Control · Electrical Eng. & Systems 2022-10-17 Nicholas Rober , Michael Everett , Songan Zhang , Jonathan P. How

Forward reachability analysis is the predominant approach for verifying reach-avoid properties in neural feedback systems (dynamical systems controlled by neural networks). This dominance stems from the limited scalability of existing…

Artificial Intelligence · Computer Science 2026-01-14 Samuel I. Akinwande , Sydney M. Katz , Mykel J. Kochenderfer , Clark Barrett

Forward reachability analysis is a dominant approach for verifying reach-avoid specifications in neural feedback systems, i.e., dynamical systems controlled by neural networks, and a number of directions have been proposed and studied. In…

Artificial Intelligence · Computer Science 2026-03-24 Samuel I. Akinwande , Sydney M. Katz , Mykel J. Kochenderfer , Clark Barrett

The vulnerability of artificial intelligence (AI) and machine learning (ML) against adversarial disturbances and attacks significantly restricts their applicability in safety-critical systems including cyber-physical systems (CPS) equipped…

Systems and Control · Electrical Eng. & Systems 2020-04-28 Weiming Xiang , Hoang-Dung Tran , Xiaodong Yang , Taylor T. Johnson

Neural networks (NNs) are becoming increasingly popular in the design of control pipelines for autonomous systems. However, since the performance of NNs can degrade in the presence of out-of-distribution data or adversarial attacks, systems…

Systems and Control · Electrical Eng. & Systems 2024-10-02 Nicholas Rober , Jonathan P. How

Learning-enabled planning and control algorithms are increasingly popular, but they often lack rigorous guarantees of performance or safety. We introduce an algorithm for computing underapproximate backward reachable sets of nonlinear…

Artificial Intelligence · Computer Science 2025-05-07 Chelsea Sidrane , Jana Tumova

Safety certification of data-driven control techniques remains a major open problem. This work investigates backward reachability as a framework for providing collision avoidance guarantees for systems controlled by neural network (NN)…

Systems and Control · Electrical Eng. & Systems 2023-03-21 Michael Everett , Rudy Bunel , Shayegan Omidshafiei

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 systems. This work introduces a novel approach employing…

Optimization and Control · Mathematics 2024-03-20 Hang Zhang , Yuhao Zhang , Xiangru Xu

Autonomous cyber-physical systems (CPS) rely on the correct operation of numerous components, with state-of-the-art methods relying on machine learning (ML) and artificial intelligence (AI) components in various stages of sensing and…

Systems and Control · Computer Science 2018-05-28 Weiming Xiang , Taylor T. Johnson

The arising application of neural networks (NN) in robotic systems has driven the development of safety verification methods for neural network dynamical systems (NNDS). Recursive techniques for reachability analysis of dynamical systems in…

Systems and Control · Electrical Eng. & Systems 2022-10-25 Shaoru Chen , Victor M. Preciado , Mahyar Fazlyab

Neural networks (NN) have been successfully applied to approximate various types of complex control laws, resulting in low-complexity NN-based controllers that are fast to evaluate. However, when approximating control laws using NN,…

Systems and Control · Electrical Eng. & Systems 2025-04-16 Dieter Teichrib , Moritz Schulze Darup

In this work, we consider the problem of learning a feed-forward neural network controller to safely steer an arbitrarily shaped planar robot in a compact and obstacle-occluded workspace. Unlike existing methods that depend strongly on the…

Systems and Control · Electrical Eng. & Systems 2022-12-14 Panagiotis Vlantis , Leila J. Bridgeman , Michael M. Zavlanos

The design of tracking controllers that closely follow a reference trajectory while ensuring safety and robustness against disturbances is a challenging problem in the control of autonomous systems. In this work, we propose a neural…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Yuezhu Xu , Mohamed Serry , Jun Liu , S. Sivaranjani

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 for computing the exact backward reachable sets of neural…

Optimization and Control · Mathematics 2023-03-21 Yuhao Zhang , Hang Zhang , Xiangru Xu

Neural networks (NNs) have been shown to learn complex control laws successfully, often with performance advantages or decreased computational cost compared to alternative methods. Neural network controllers (NNCs) are, however, highly…

Systems and Control · Electrical Eng. & Systems 2023-09-08 Oliver Gates , Matthew Newton , Konstantinos Gatsis

Neural networks (NNs) are increasingly applied in safety-critical systems such as autonomous vehicles. However, they are fragile and are often ill-behaved. Consequently, their behaviors should undergo rigorous guarantees before deployment…

Artificial Intelligence · Computer Science 2022-10-11 Zhen Liang , Dejin Ren , Wanwei Liu , Ji Wang , Wenjing Yang , Bai Xue
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