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Neural network controllers (NNCs) have shown great promise in autonomous and cyber-physical systems. Despite the various verification approaches for neural networks, the safety analysis of NNCs remains an open problem. Existing verification…

Machine Learning · Computer Science 2023-01-31 Chi Zhang , Wenjie Ruan , Peipei Xu

The Neural Network (NN), as a black-box function approximator, has been considered in many control and robotics applications. However, difficulties in verifying the overall system safety in the presence of uncertainties hinder the…

Robotics · Computer Science 2024-05-21 Xiao Li , Yutong Li , Anouck Girard , Ilya Kolmanovsky

Model predictive control (MPC) achieves stability and constraint satisfaction for general nonlinear systems, but requires computationally expensive online optimization. This paper studies approximations of such MPC controllers via neural…

Systems and Control · Electrical Eng. & Systems 2025-11-07 Henrik Hose , Johannes Köhler , Melanie N. Zeilinger , Sebastian Trimpe

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

Recent advances in machine learning technologies and sensing have paved the way for the belief that safe, accessible, and convenient autonomous vehicles may be realized in the near future. Despite tremendous advances within this context,…

Machine learning components such as deep neural networks are used extensively in Cyber-Physical Systems (CPS). However, they may introduce new types of hazards that can have disastrous consequences and need to be addressed for engineering…

Machine Learning · Computer Science 2020-04-21 Dimitrios Boursinos , Xenofon Koutsoukos

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

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 achieve outstanding accuracy in classification and regression tasks. However, understanding their behavior still remains an open challenge that requires questions to be addressed on the robustness, explainability and…

Machine Learning · Computer Science 2021-05-13 Anna-Kathrin Kopetzki , Stephan Günnemann

Perception-based neural network controllers are increasingly used in autonomous systems that rely on visual inputs to operate in the real world. Ensuring the safety of such systems under uncertainty is challenging. Existing verification…

Robotics · Computer Science 2025-07-08 Alexander Estornell , Leonard Jung , Michael Everett

This paper presents a novel contingency planning framework that integrates learning-based multi-modal predictions of traffic participants into Branch Model Predictive Control (MPC). Leveraging reachability analysis, we address the…

Systems and Control · Electrical Eng. & Systems 2025-02-05 Mohamed-Khalil Bouzidi , Bojan Derajic , Daniel Goehring , Joerg Reichardt

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

As dynamical systems equipped with neural network controllers (neural feedback systems) become increasingly prevalent, it is critical to develop methods to ensure their safe operation. Verifying safety requires extending control theoretic…

Systems and Control · Electrical Eng. & Systems 2026-04-15 I. Samuel Akinwande , Chelsea Sidrane , Mykel J. Kochenderfer , Clark Barrett

Fast feedback control and safety guarantees are essential in modern robotics. We present an approach that achieves both by combining novel robust model predictive control (MPC) with function approximation via (deep) neural networks (NNs).…

Robotics · Computer Science 2020-03-04 Julian Nubert , Johannes Köhler , Vincent Berenz , Frank Allgöwer , Sebastian Trimpe

Ensuring safety in autonomous systems with vision-based control remains a critical challenge due to the high dimensionality of image inputs and the fact that the relationship between true system state and its visual manifestation is…

Robotics · Computer Science 2025-11-12 Xinhang Ma , Junlin Wu , Hussein Sibai , Yiannis Kantaros , Yevgeniy Vorobeychik

Neural networks achieved high performance over different tasks, i.e. image identification, voice recognition and other applications. Despite their success, these models are still vulnerable regarding small perturbations, which can be used…

Machine Learning · Computer Science 2023-01-31 João Zago , Eduardo Camponogara , Eric Antonelo

Cyber-physical systems (CPS) are composed of various embedded subsystems and require specialized software, firmware, and hardware to coordinate with the rest of the system. These multiple levels of integration expose attack surfaces which…

Cryptography and Security · Computer Science 2018-12-11 Smitha Gautham , Georgios Bakirtzis , Matthew T. Leccadito , Robert H. Klenke , Carl R. Elks

Spiking Neural Networks (SNNs) are a subclass of neuromorphic models that have great potential to be used as controllers in Cyber-Physical Systems (CPSs) due to their energy efficiency. They can benefit from the prevalent approach of first…

Emerging Technologies · Computer Science 2024-08-06 Arkaprava Gupta , Sumana Ghosh , Ansuman Banerjee , Swarup Kumar Mohalik

This paper considers the problem of reachability analysis of control systems with optimal controllers, as a first step towards verifying the safety and correctness of such systems. Despite their appeal in guaranteeing task satisfaction…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Dylan Le , Joel McCandless , Carlos Varela , Radoslav Ivanov

Neural networks have been increasingly applied for control in learning-enabled cyber-physical systems (LE-CPSs) and demonstrated great promises in improving system performance and efficiency, as well as reducing the need for complex…

Systems and Control · Electrical Eng. & Systems 2020-10-19 Yixuan Wang , Chao Huang , Qi Zhu