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Neural network controllers have become popular in control tasks thanks to their flexibility and expressivity. Stability is a crucial property for safety-critical dynamical systems, while stabilization of partially observed systems, in many…

Systems and Control · Electrical Eng. & Systems 2021-12-08 Fangda Gu , He Yin , Laurent El Ghaoui , Murat Arcak , Peter Seiler , Ming Jin

The article outlines the methodology of structural and parametric synthesis of neural network controllers for controlling objects with limiters under incomplete information about the controlled object. Artificial neural networks are used to…

Robotics · Computer Science 2023-12-29 Sergey Feofilov , Dmitry Khapkin , Andrey Kozyr , Eduard Heiss , Andrey Efromeev

Neural certificates have emerged as a powerful tool in cyber-physical systems control, providing witnesses of correctness. These certificates, such as barrier functions, often learned alongside control policies, once verified, serve as…

Symbolic Computation · Computer Science 2025-07-17 Thomas A. Henzinger , Konstantin Kueffner , Emily Yu

Barrier functions are a general framework for establishing a safety guarantee for a system. However, there is no general method for finding these functions. To address this shortcoming, recent approaches use self-supervised learning…

Machine Learning · Computer Science 2024-03-13 Shaoru Chen , Lekan Molu , Mahyar Fazlyab

The last decade has witnessed significant attention on networked control systems (NCS) due to their ubiquitous presence in industrial applications, and, in the particular case of wireless NCS, because of their architectural flexibility and…

Optimization and Control · Mathematics 2016-11-22 Majid Zamani , Manuel Mazo , Mahmoud Khaled , Alessandro Abate

This work presents a control-oriented identification scheme for efficient control design and stability analysis of nonlinear systems. Neural networks are used to identify a discrete-time nonlinear state-space model to approximate…

Systems and Control · Electrical Eng. & Systems 2024-10-04 Maxime Thieffry , Alexandre Hache , Mohamed Yagoubi , Philippe Chevrel

With neural networks being used to control safety-critical systems, they increasingly have to be both accurate (in the sense of matching inputs to outputs) and robust. However, these two properties are often at odds with each other and a…

Systems and Control · Electrical Eng. & Systems 2024-05-30 Ross Drummond , Chris Guiver , Matthew C. Turner

We demonstrate a unified approach to rigorous design of safety-critical autonomous systems using the VerifAI toolkit for formal analysis of AI-based systems. VerifAI provides an integrated toolchain for tasks spanning the design process,…

Machine Learning · Computer Science 2020-05-15 Daniel J. Fremont , Johnathan Chiu , Dragos D. Margineantu , Denis Osipychev , Sanjit A. Seshia

Neural network verification aims at providing formal guarantees on the output of trained neural networks, to ensure their robustness against adversarial examples and enable their deployment in safety-critical applications. This paper…

Optimization and Control · Mathematics 2024-04-02 Haoruo Zhao , Hassan Hijazi , Haydn Jones , Juston Moore , Mathieu Tanneau , Pascal Van Hentenryck

Deep learning methods can be used to produce control policies, but certifying their safety is challenging. The resulting networks are nonlinear and often very large. In response to this challenge, we present OVERT: a sound algorithm for…

Machine Learning · Computer Science 2023-01-06 Chelsea Sidrane , Amir Maleki , Ahmed Irfan , Mykel J. Kochenderfer

Traditional methods for formal verification (FV) of deep neural networks (DNNs) are constrained by a binary encoding of safety properties, where a model is classified as either safe or unsafe (robust or not robust). This binary encoding…

Artificial Intelligence · Computer Science 2025-05-09 Luca Marzari , Isabella Mastroeni , Alessandro Farinelli

For deep neural networks (DNNs) to be used in safety-critical autonomous driving tasks, it is desirable to monitor in operation time if the input for the DNN is similar to the data used in DNN training. While recent results in monitoring…

Machine Learning · Computer Science 2021-09-28 Chih-Hong Cheng

We define robust abstractions for synthesizing provably correct and robust controllers for (possibly infinite) uncertain transition systems. It is shown that robust abstractions are sound in the sense that they preserve robust satisfaction…

Systems and Control · Computer Science 2018-03-06 Jun Liu

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

Many available formal verification methods have been shown to be instances of a unified Branch-and-Bound (BaB) formulation. We propose a novel machine learning framework that can be used for designing an effective branching strategy as well…

Machine Learning · Computer Science 2021-07-28 Florian Jaeckle , Jingyue Lu , M. Pawan Kumar

The article sets and solves the task to control an error of the artificial neural network with variable signal conductivity. This kind of neural networks was especially developed to construct timetables. Behavior of such a neural network…

Optimization and Control · Mathematics 2016-08-17 Alexander Ignatenkov , Alexey Olshansky

In recent years, machine learning (ML) and neural networks (NNs) have gained widespread use and attention across various domains, particularly in transportation for achieving autonomy, including the emergence of flying taxis for urban air…

Machine Learning · Computer Science 2024-01-17 Fabien Geyer , Johannes Freitag , Tobias Schulz , Sascha Uhrig

In the evolving landscape of high-speed agile quadrotor flight, achieving precise trajectory tracking at the platform's operational limits is paramount. Controllers must handle actuator constraints, exhibit robustness to disturbances, and…

Robotics · Computer Science 2025-10-15 Lukas Pries , Markus Ryll

In this paper, we solve the problem of finding a certified control policy that drives a robot from any given initial state and under any bounded disturbance to the desired reference trajectory, with guarantees on the convergence or bounds…

Robotics · Computer Science 2020-11-26 Dawei Sun , Susmit Jha , Chuchu Fan

Safety verification of robot applications is extremely challenging due to the complexity of the environment that a robot typically operates in. Formal verification with model-checking provides guarantees but it may often take too long or…

Robotics · Computer Science 2025-05-30 Christoph Luckeneder , Ralph Hoch , Hermann Kaindl
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